subject:(mathematical physics)

University of Helsinki

1. Zahabi, Seyedali. Applications of conformal field theory and string theory in statistical systems.

Degree: Department of Mathematics and Statistics, 2013, University of Helsinki

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This thesis investigates different aspects of conformal ﬁeld theory and string theory and their applications in statistical properties of systems. First, we study the free… (more)

Subjects/Keywords: mathematical physics; mathematical physics

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APA (6^th Edition):

Zahabi, S. (2013). Applications of conformal field theory and string theory in statistical systems. (Doctoral Dissertation). University of Helsinki. Retrieved from http://hdl.handle.net/10138/40728

Chicago Manual of Style (16^th Edition):

Zahabi, Seyedali. “Applications of conformal field theory and string theory in statistical systems.” 2013. Doctoral Dissertation, University of Helsinki. Accessed January 26, 2021. http://hdl.handle.net/10138/40728.

MLA Handbook (7^th Edition):

Zahabi, Seyedali. “Applications of conformal field theory and string theory in statistical systems.” 2013. Web. 26 Jan 2021.

Vancouver:

Zahabi S. Applications of conformal field theory and string theory in statistical systems. [Internet] [Doctoral dissertation]. University of Helsinki; 2013. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/10138/40728.

Council of Science Editors:

Zahabi S. Applications of conformal field theory and string theory in statistical systems. [Doctoral Dissertation]. University of Helsinki; 2013. Available from: http://hdl.handle.net/10138/40728

National University of Ireland – Maynooth

2. Bolukbasi, Ahmet Tuna. Non-Abelian Anyons in the Kitaev Honeycomb Model.

Degree: phd, Mathematical Physics, 2010, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/2441/

► The non-Abelian Berry phase is an essential feature of non-Abelian anyons for the realization of topological quantum computation. This thesis is primarily a study about… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Bolukbasi, A. T. (2010). Non-Abelian Anyons in the Kitaev Honeycomb Model. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/2441/

Chicago Manual of Style (16^th Edition):

Bolukbasi, Ahmet Tuna. “Non-Abelian Anyons in the Kitaev Honeycomb Model.” 2010. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/2441/.

MLA Handbook (7^th Edition):

Bolukbasi, Ahmet Tuna. “Non-Abelian Anyons in the Kitaev Honeycomb Model.” 2010. Web. 26 Jan 2021.

Vancouver:

Bolukbasi AT. Non-Abelian Anyons in the Kitaev Honeycomb Model. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2010. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/2441/.

Council of Science Editors:

Bolukbasi AT. Non-Abelian Anyons in the Kitaev Honeycomb Model. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2010. Available from: http://mural.maynoothuniversity.ie/2441/

National University of Ireland – Maynooth

3. Moran, Niall. Numerical Investigation of Exotic Phases in Quantum Lattice Models.

Degree: phd, Mathematical Physics, 2010, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/2525/

► In this thesis we present details of the design, development and application of a large scale exact diagonalisation code named DoQO (Diagonalisation of Quantum Observables).… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Moran, N. (2010). Numerical Investigation of Exotic Phases in Quantum Lattice Models. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/2525/

Chicago Manual of Style (16^th Edition):

Moran, Niall. “Numerical Investigation of Exotic Phases in Quantum Lattice Models.” 2010. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/2525/.

MLA Handbook (7^th Edition):

Moran, Niall. “Numerical Investigation of Exotic Phases in Quantum Lattice Models.” 2010. Web. 26 Jan 2021.

Vancouver:

Moran N. Numerical Investigation of Exotic Phases in Quantum Lattice Models. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2010. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/2525/.

Council of Science Editors:

Moran N. Numerical Investigation of Exotic Phases in Quantum Lattice Models. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2010. Available from: http://mural.maynoothuniversity.ie/2525/

National University of Ireland – Maynooth

4. Fox, Andrew. Charged scalar fields and superconductivity in AdS4/CFT3.

Degree: Mathematical Physics, 2010, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/2680/

► In this thesis I shall examine the energy behaviour of a massive charged scalar field in an Anti de-Sitter-Reissner-Nordström space-time background using the AdS/CFT correspondence.… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Fox, A. (2010). Charged scalar fields and superconductivity in AdS4/CFT3. (Masters Thesis). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/2680/

Chicago Manual of Style (16^th Edition):

Fox, Andrew. “Charged scalar fields and superconductivity in AdS4/CFT3.” 2010. Masters Thesis, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/2680/.

MLA Handbook (7^th Edition):

Fox, Andrew. “Charged scalar fields and superconductivity in AdS4/CFT3.” 2010. Web. 26 Jan 2021.

Vancouver:

Fox A. Charged scalar fields and superconductivity in AdS4/CFT3. [Internet] [Masters thesis]. National University of Ireland – Maynooth; 2010. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/2680/.

Council of Science Editors:

Fox A. Charged scalar fields and superconductivity in AdS4/CFT3. [Masters Thesis]. National University of Ireland – Maynooth; 2010. Available from: http://mural.maynoothuniversity.ie/2680/

National University of Ireland – Maynooth

5. Burella, Glen. Constructing Hecke-type Structures, their Representations and Applications.

Degree: phd, Mathematical Physics, 2013, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/4516/

► This thesis is primarily concerned with the construction of a large Hecke-type structure called the double ane Q-dependent braid group. The significance of this structure… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Burella, G. (2013). Constructing Hecke-type Structures, their Representations and Applications. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/4516/

Chicago Manual of Style (16^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/4516/.

MLA Handbook (7^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Web. 26 Jan 2021.

Vancouver:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2013. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/4516/.

Council of Science Editors:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2013. Available from: http://mural.maynoothuniversity.ie/4516/

National University of Ireland – Maynooth

6. Pouryahya, Sepanda. Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells.

Degree: phd, Mathematical Physics, 2013, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/4520/

► Physiological systems are amongst the most challenging systems to investigate from a mathematically based approach. The field of mathematical biology is a relatively recent one… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Pouryahya, S. (2013). Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/4520/

Chicago Manual of Style (16^th Edition):

Pouryahya, Sepanda. “Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells.” 2013. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/4520/.

MLA Handbook (7^th Edition):

Pouryahya, Sepanda. “Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells.” 2013. Web. 26 Jan 2021.

Vancouver:

Pouryahya S. Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2013. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/4520/.

Council of Science Editors:

Pouryahya S. Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2013. Available from: http://mural.maynoothuniversity.ie/4520/

National University of Ireland – Maynooth

7. Kaltenbrunner, Thomas. Emergent Phenomena in Matrix Models.

Degree: phd, Mathematical Physics, 2014, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/5003/

► In this work we perform a careful study of different matrix models and particularly the property of emergent phenomena in them. We start discussing a… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Kaltenbrunner, T. (2014). Emergent Phenomena in Matrix Models. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/5003/

Chicago Manual of Style (16^th Edition):

Kaltenbrunner, Thomas. “Emergent Phenomena in Matrix Models.” 2014. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/5003/.

MLA Handbook (7^th Edition):

Kaltenbrunner, Thomas. “Emergent Phenomena in Matrix Models.” 2014. Web. 26 Jan 2021.

Vancouver:

Kaltenbrunner T. Emergent Phenomena in Matrix Models. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2014. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/5003/.

Council of Science Editors:

Kaltenbrunner T. Emergent Phenomena in Matrix Models. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2014. Available from: http://mural.maynoothuniversity.ie/5003/

National University of Ireland – Maynooth

8. Vachovski, Martin Petrov. Numerical studies of the critical behaviour of non-commutative field theories.

Degree: phd, Mathematical Physics, 2013, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/5439/

► We study the critical behaviour of matrix models with builtin SU(2) geometry by using Hybrid Monte Carlo (HMC) techniques. The first system under study is… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Vachovski, M. P. (2013). Numerical studies of the critical behaviour of non-commutative field theories. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/5439/

Chicago Manual of Style (16^th Edition):

Vachovski, Martin Petrov. “Numerical studies of the critical behaviour of non-commutative field theories.” 2013. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/5439/.

MLA Handbook (7^th Edition):

Vachovski, Martin Petrov. “Numerical studies of the critical behaviour of non-commutative field theories.” 2013. Web. 26 Jan 2021.

Vancouver:

Vachovski MP. Numerical studies of the critical behaviour of non-commutative field theories. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2013. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/5439/.

Council of Science Editors:

Vachovski MP. Numerical studies of the critical behaviour of non-commutative field theories. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2013. Available from: http://mural.maynoothuniversity.ie/5439/

National University of Ireland – Maynooth

9. Green, Elena. Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques.

Degree: phd, Mathematical Physics, 2014, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/6190/

► In recent years physicists have become involved in studying the financial market and the vast data it generates. The constantly-updated streams of information are a… (more)

▼ In recent years physicists have become involved in studying the financial market and the vast data it generates. The constantly-updated streams of information are a perfect testing ground for the hypothesis that the laws of statistical physics might apply to human behaviour. In this thesis, I study two empirical log return time series for the stylised facts of financial data. I then use Multifractal Detrended Fluctuation Analysis to study the empirical log returns for multifractal scaling. I find that extreme events are inimical to the scaling in highly leptokurtic data. I also find that the temporal correlations in the data are crucial to the scaling whereas the shape of its distribution is not as important. I then develop my own agent-based model of the market. With just a few different types of traders operating according to some simple rules, my model generates log returns with many of the statistical properties found in empirical data. The option for traders to opt out of trading is the source of the thin-peaked distribution of the simulated log returns. The distribution of log returns becomes more closely described by a Gaussian at longer lags. This is a consequence of basing the fundamental value of the stock on geometric Brownian motion. Since transition to Gaussianity at long lags is also a feature of empirical log returns, this implies that real traders are also influenced by some geometric Brownian process. Log returns generated by the model also have volatility clustering, are uncorrelated and asymmetrically distributed. I test the log returns generated by my model for their scaling properties and find that they do not have multifractal scaling. This is an interesting result since the simulated log returns do feature other properties of empirical data. I then extend the model in some basic ways to include more heterogeneity. Some limited multifractal scaling is found in the simulated log returns of the extended model. Because the model produces stochastic output, it is extremely difficult to exactly determine the scaling properties. However the results hint at the possibility that the multifractality found in empirical log returns is a consequence of the heterogeneity in both the investment horizons and beliefs of traders in the market.

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Green, E. (2014). Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/6190/

Chicago Manual of Style (16^th Edition):

Green, Elena. “Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques.” 2014. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/6190/.

MLA Handbook (7^th Edition):

Green, Elena. “Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques.” 2014. Web. 26 Jan 2021.

Vancouver:

Green E. Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2014. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/6190/.

Council of Science Editors:

Green E. Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and Agent-Based Techniques. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2014. Available from: http://mural.maynoothuniversity.ie/6190/

University of Texas – Austin

10. Lingam, Manasvi. Hamiltonian and Action Principle formulations of plasma fluid models.

Degree: PhD, Physics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/31636

► The Hamiltonian and Action Principle (HAP) formulations of plasmas and fluids are explored in a wide variety of contexts. The principles involved in the construction… (more)

▼ The Hamiltonian and Action Principle (HAP) formulations of plasmas and fluids are explored in a wide variety of contexts. The principles involved in the construction of Action Principles are presented, and the reduction procedure to obtain the associated noncanonical Hamiltonian formulation is delineated. The HAP formulation is first applied to a 2D magnetohydrodynamics (MHD) model, and it is shown that one can include Finite Larmor Radius effects in a transparent manner. A simplified 2D limit of the famous Branginskii gyroviscous tensor is obtained, and the origins of a powerful tool - the gyromap - are traced to the presence of a gyroviscous term in the action. The noncanonical Hamiltonian formulation is used to extract the Casimirs of the model, and an Energy-Casimir method is used to derive the equilibria and stability; the former are shown to be generalizations of the Grad-Shafranov equation, and possess both flow and gyroviscous effects. The action principle of 2D MHD is generalized to encompass a wider class of gyroviscous fluids, and a suitable gyroviscous theory for liquid crystals is constructed. The next part of the thesis is devoted to examining several aspects of extended MHD models. It is shown that one can recover many such models from a parent action, viz. the two-fluid model. By performing systematic orderings in the action, extended MHD, Hall MHD and electron MHD are recovered. In order to obtain these models, novel techniques, such as non-local Lagrange-Euler maps which enable a transition between the two fluid frameworks, are introduced. A variant of extended MHD, dubbed inertial MHD, is studied via the HAP approach in the 2D limit. The model is endowed with the effects of electron inertia, but is shown to possess a remarkably high degree of similarity with (inertialess) ideal MHD. A reduced version of inertial MHD is shown to yield the famous Ottaviani-Porcelli model of reconnection. Similarities in the mathematical structure of several extended MHD models are explored in the Hamiltonian framework, and it is hypothesized that these features emerge via a unifying action principle. Prospects for future work, reliant on the HAP formulation, are also presented. Advisors/Committee Members: Morrison, Philip J. (advisor), Hazeltine, Richard (committee member), Waelbroeck, Francois (committee member), Breizman, Boris (committee member), Gamba, Irene M (committee member).

Subjects/Keywords: Plasma physics; Mathematical physics

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APA (6^th Edition):

Lingam, M. (2015). Hamiltonian and Action Principle formulations of plasma fluid models. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/31636

Chicago Manual of Style (16^th Edition):

Lingam, Manasvi. “Hamiltonian and Action Principle formulations of plasma fluid models.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed January 26, 2021. http://hdl.handle.net/2152/31636.

MLA Handbook (7^th Edition):

Lingam, Manasvi. “Hamiltonian and Action Principle formulations of plasma fluid models.” 2015. Web. 26 Jan 2021.

Vancouver:

Lingam M. Hamiltonian and Action Principle formulations of plasma fluid models. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/2152/31636.

Council of Science Editors:

Lingam M. Hamiltonian and Action Principle formulations of plasma fluid models. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/31636

Florida Atlantic University

11. Yakunin, Konstantin. Gravitational signature of core-collapse supernova results of CHIMERA simulations.

Degree: PhD, 2011, Florida Atlantic University

URL: http://purl.flvc.org/FAU/3322512

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Summary: Core-collapse supernovae (CCSN) are among the most energetic explosions in the universe, liberating ~1053 erg of gravitational binding energy of the stellar core. Most… (more)

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Summary: Core-collapse supernovae (CCSN) are among the most energetic explosions in the universe, liberating ~1053 erg of gravitational binding energy of the stellar core. Most of this energy ( ~99%) is emitted in neutrinos and only 1% is released as electromagnetic radiation in the visible spectrum. Energy radiated in the form of gravitational waves (GWs) is about five orders smaller. Nevertheless, this energy corresponds to a very strong GW signal and, because of this CCSN are considered as one of the prime sources of gravitational waves for interferometric detectors. Gravitational waves can give us access to the electromagnetically hidden compact inner core of supernovae. They will provide valuable information about the angular momentum distribution and the baryonic equation of state, both of which are uncertain. Furthermore, they might even help to constrain theoretically predicted SN mechanisms. Detection of GW signals and analysis of the observations will require realistic signal predi ctions from the non-parameterized relativistic numerical simulations of CCSN. This dissertation presents the gravitational wave signature of core-collapse v supernovae. Previous studies have considered either parametric models or nonexploding models of CCSN. This work presents complete waveforms, through the explosion phase, based on first-principles models for the first time. We performed 2D simulations of CCSN using the CHIMERA code for 12, 15, and 25M non-rotating progenitors. CHIMERA incorporates most of the criteria for realistic core-collapse modeling, such as multi-frequency neutrino transport coupled with relativistic hydrodynamics, eective GR potential, nuclear reaction network, and an industry-standard equation of state.

Summary: Based on the results of our simulations, I produced the most realistic gravitational waveforms including all postbounce phases of core-collapse supernovae: the prompt convection, the stationary accretion shock instability, and the corresponding explosion. Additionally, the tracer particles applied in the analysis of the GW signal reveal the origin of low-frequency component in the prompt part of gravitational waveform. Analysis of detectability of the GW signature from a Galactic event shows that the signal is within the band-pass of current and future GW observatories such as AdvLIGO, advanced Virgo, and LCGT.

Electronic reproduction. Boca Raton, Fla., 200?.

Subjects/Keywords: Mathematical physics; Continuum mechanics; Supernovae – Mathematical models

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APA (6^th Edition):

Yakunin, K. (2011). Gravitational signature of core-collapse supernova results of CHIMERA simulations. (Doctoral Dissertation). Florida Atlantic University. Retrieved from http://purl.flvc.org/FAU/3322512

Chicago Manual of Style (16^th Edition):

Yakunin, Konstantin. “Gravitational signature of core-collapse supernova results of CHIMERA simulations.” 2011. Doctoral Dissertation, Florida Atlantic University. Accessed January 26, 2021. http://purl.flvc.org/FAU/3322512.

MLA Handbook (7^th Edition):

Yakunin, Konstantin. “Gravitational signature of core-collapse supernova results of CHIMERA simulations.” 2011. Web. 26 Jan 2021.

Vancouver:

Yakunin K. Gravitational signature of core-collapse supernova results of CHIMERA simulations. [Internet] [Doctoral dissertation]. Florida Atlantic University; 2011. [cited 2021 Jan 26]. Available from: http://purl.flvc.org/FAU/3322512.

Council of Science Editors:

Yakunin K. Gravitational signature of core-collapse supernova results of CHIMERA simulations. [Doctoral Dissertation]. Florida Atlantic University; 2011. Available from: http://purl.flvc.org/FAU/3322512

University of Oxford

12. Ferrari, Andrea. Geometric aspects of twisted 3d supersymmetric gauge theories.

Degree: PhD, 2019, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:335193db-bee7-4752-aa2d-c0487cf9b89b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800105

► We study geometric aspects of 3d N = 2 and N = 4 supersymmetric gauge theories on the product of a line and a Riemann… (more)

Subjects/Keywords: Mathematical physics – supersymmetry and geometry

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APA (6^th Edition):

Ferrari, A. (2019). Geometric aspects of twisted 3d supersymmetric gauge theories. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:335193db-bee7-4752-aa2d-c0487cf9b89b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800105

Chicago Manual of Style (16^th Edition):

Ferrari, Andrea. “Geometric aspects of twisted 3d supersymmetric gauge theories.” 2019. Doctoral Dissertation, University of Oxford. Accessed January 26, 2021. http://ora.ox.ac.uk/objects/uuid:335193db-bee7-4752-aa2d-c0487cf9b89b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800105.

MLA Handbook (7^th Edition):

Ferrari, Andrea. “Geometric aspects of twisted 3d supersymmetric gauge theories.” 2019. Web. 26 Jan 2021.

Vancouver:

Ferrari A. Geometric aspects of twisted 3d supersymmetric gauge theories. [Internet] [Doctoral dissertation]. University of Oxford; 2019. [cited 2021 Jan 26]. Available from: http://ora.ox.ac.uk/objects/uuid:335193db-bee7-4752-aa2d-c0487cf9b89b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800105.

Council of Science Editors:

Ferrari A. Geometric aspects of twisted 3d supersymmetric gauge theories. [Doctoral Dissertation]. University of Oxford; 2019. Available from: http://ora.ox.ac.uk/objects/uuid:335193db-bee7-4752-aa2d-c0487cf9b89b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800105

Oregon State University

13. Schray, Jörg. Octonions and supersymmetry.

Degree: PhD, Physics, 1994, Oregon State University

URL: http://hdl.handle.net/1957/35649

Subjects/Keywords: Mathematical physics

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APA (6^th Edition):

Schray, J. (1994). Octonions and supersymmetry. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/35649

Chicago Manual of Style (16^th Edition):

Schray, Jörg. “Octonions and supersymmetry.” 1994. Doctoral Dissertation, Oregon State University. Accessed January 26, 2021. http://hdl.handle.net/1957/35649.

MLA Handbook (7^th Edition):

Schray, Jörg. “Octonions and supersymmetry.” 1994. Web. 26 Jan 2021.

Vancouver:

Schray J. Octonions and supersymmetry. [Internet] [Doctoral dissertation]. Oregon State University; 1994. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/1957/35649.

Council of Science Editors:

Schray J. Octonions and supersymmetry. [Doctoral Dissertation]. Oregon State University; 1994. Available from: http://hdl.handle.net/1957/35649

Columbia University

14. Wu, Xuan. Discrete Gibbsian line ensembles and weak noise scaling for directed polymers.

Degree: 2020, Columbia University

URL: https://doi.org/10.7916/d8-6re1-k703

► In this thesis we investigate three projects within in the field of KPZ universality class and integrable probability. The first project studies the weak KPZ… (more)

▼ In this thesis we investigate three projects within in the field of KPZ universality class and integrable probability. The first project studies the weak KPZ universality for half-space directed polymers in dimension 1+1. This is the half-space analogue of the full-space polymers studied in [AKQ]. The novelty is the extra random environment introduced at the boundary. The new technical challenges are the estimates for half-space heat kernels which are super-probability measures and accurate estimates on visits to origin (weighted by the boundary randomness) for a simple symmetric walk in dimension 1 and 2 respectively. The second project introduces a framework to prove tightness of a sequence of discrete Gibbsian line ensembles L^N = {L(N/k)(u), k ∈ N, u ∈ (1/N)Z}, which is a countable collection of random curves. The sequence of discrete line ensembles L^N we consider enjoys a resampling invariance property, which we call (H^N,H^R^W,^N )-Gibbs property. We assume that L^N satisfies technical assumptions A1-A4 on (H^N,H^R^W,^N ) and the assumption that the lowest labeled curve with a parabolic shift, L(N/1)(u)+ u²/2 , converges weakly to a stationary process in the topology of uniform convergence on compact sets. Under these assumptions, we prove our main result Theorem 3.1.13 that L^N is tight as a sequence of line ensembles and that the H-Brownian Gibbs property holds for all subsequential limit line ensembles with H(x) = e^x. As an application of Theorem 3.1.13, under the weak noise scaling, we show that the scaled log-gamma line ensemble L^N is tight, which is a sequence of discrete line ensembles associated with the log-gamma polymer model via the geometric RSK correspondence. The H-Brownian Gibbs property (with H(x) = e^x) of its subsequential limits also follows. The third project proves an analogue of the classical Komlós-Major-Tusnády (KMT) embedding theorem for random walk bridges and it serves as a key technical input for the second project. The random bridges we consider are constructed through random walks with i.i.d jumps that are conditioned on the locations of their endpoints. We prove that such bridges can be strongly coupled to Brownian bridges of appropriate variance when the jumps are either continuous or integer valued under some mild technical assumptions on the jump distributions. Our arguments follow a similar dyadic scheme to KMT's original proof, but they require more refined estimates and stronger assumptions necessitated by the endpoint conditioning. In particular, our result does not follow from the KMT embedding theorem, which we illustrate via a counterexample.

Subjects/Keywords: Mathematics; Probabilities; Mathematical physics

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APA (6^th Edition):

Wu, X. (2020). Discrete Gibbsian line ensembles and weak noise scaling for directed polymers. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-6re1-k703

Chicago Manual of Style (16^th Edition):

Wu, Xuan. “Discrete Gibbsian line ensembles and weak noise scaling for directed polymers.” 2020. Doctoral Dissertation, Columbia University. Accessed January 26, 2021. https://doi.org/10.7916/d8-6re1-k703.

MLA Handbook (7^th Edition):

Wu, Xuan. “Discrete Gibbsian line ensembles and weak noise scaling for directed polymers.” 2020. Web. 26 Jan 2021.

Vancouver:

Wu X. Discrete Gibbsian line ensembles and weak noise scaling for directed polymers. [Internet] [Doctoral dissertation]. Columbia University; 2020. [cited 2021 Jan 26]. Available from: https://doi.org/10.7916/d8-6re1-k703.

Council of Science Editors:

Wu X. Discrete Gibbsian line ensembles and weak noise scaling for directed polymers. [Doctoral Dissertation]. Columbia University; 2020. Available from: https://doi.org/10.7916/d8-6re1-k703

National University of Ireland – Maynooth

15. Ghesquière, Anne. Entanglement in a Bipartite Gaussian State.

Degree: phd, Mathematical Physics, 2009, National University of Ireland – Maynooth

URL: http://mural.maynoothuniversity.ie/2288/

► To examine the loss of entanglement in a two-particle Gaussian system, we couple it to an environment and use the Non-Rotating Wave master equation to… (more)

Subjects/Keywords: Mathematical Physics

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APA (6^th Edition):

Ghesquière, A. (2009). Entanglement in a Bipartite Gaussian State. (Doctoral Dissertation). National University of Ireland – Maynooth. Retrieved from http://mural.maynoothuniversity.ie/2288/

Chicago Manual of Style (16^th Edition):

Ghesquière, Anne. “Entanglement in a Bipartite Gaussian State.” 2009. Doctoral Dissertation, National University of Ireland – Maynooth. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/2288/.

MLA Handbook (7^th Edition):

Ghesquière, Anne. “Entanglement in a Bipartite Gaussian State.” 2009. Web. 26 Jan 2021.

Vancouver:

Ghesquière A. Entanglement in a Bipartite Gaussian State. [Internet] [Doctoral dissertation]. National University of Ireland – Maynooth; 2009. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/2288/.

Council of Science Editors:

Ghesquière A. Entanglement in a Bipartite Gaussian State. [Doctoral Dissertation]. National University of Ireland – Maynooth; 2009. Available from: http://mural.maynoothuniversity.ie/2288/

University of Cambridge

16. Gundry, James Michael. Newtonian Twistor Theory.

Degree: PhD, 2017, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/267894

► In twistor theory the nonlinear graviton construction realises four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We… (more)

▼ In twistor theory the nonlinear graviton construction realises four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian analogue of this procedure, in which four-dimensional Newton-Cartan manifolds arise as Kodaira moduli spaces of rational curves with normal bundle O + O(2) in three-dimensional complex manifolds. The isomorphism class of the normal bundle is unstable with respect to general deformations of the complex structure, exhibiting a jump to the Gibbons- Hawking class of twistor spaces. We show how Newton-Cartan connections can be constructed on the moduli space by means of a splitting procedure augmented by an additional vector bundle on the twistor space which emerges when considering the Newtonian limit of Gibbons-Hawking manifolds. The Newtonian limit is thus established as a jumping phenomenon. Newtonian twistor theory is extended to dimensions three and five, where novel features emerge. In both cases we are able to construct Kodaira deformations of the flat models whose moduli spaces possess Galilean structures with torsion. In five dimensions we find that the canonical affine connection induced on the moduli space can possess anti-self-dual generalised Coriolis forces. We give examples of anti-self-dual Ricci-flat manifolds whose twistor spaces contain rational curves whose normal bundles suffer jumps to O(2 - k) + O(k) for arbitrarily large integers k, and we construct maps which portray these big-jumping twistor spaces as the resolutions of singular twistor spaces in canonical Gibbons-Hawking form. For k > 3 the moduli space itself is singular, arising as a variety in an ambient complex space. We explicitly construct Newtonian twistor spaces suffering similar jumps. Finally we prove several theorems relating the first-order and higher-order symmetry operators of the Schrödinger equation to tensors on Newton-Cartan backgrounds, defining a Schrödinger-Killing tensor for this purpose. We also explore the role of conformal symmetries in Newtonian twistor theory in three, four, and five dimensions.

Subjects/Keywords: Twistor Theory; Geometry; Mathematical Physics

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APA (6^th Edition):

Gundry, J. M. (2017). Newtonian Twistor Theory. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/267894

Chicago Manual of Style (16^th Edition):

Gundry, James Michael. “Newtonian Twistor Theory.” 2017. Doctoral Dissertation, University of Cambridge. Accessed January 26, 2021. https://www.repository.cam.ac.uk/handle/1810/267894.

MLA Handbook (7^th Edition):

Gundry, James Michael. “Newtonian Twistor Theory.” 2017. Web. 26 Jan 2021.

Vancouver:

Gundry JM. Newtonian Twistor Theory. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2021 Jan 26]. Available from: https://www.repository.cam.ac.uk/handle/1810/267894.

Council of Science Editors:

Gundry JM. Newtonian Twistor Theory. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/267894

Hong Kong University of Science and Technology

17. Yuan, Fanqi. Two possible candidates for the two-dimensional topological superconductors.

Degree: 2014, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-71736 ; https://doi.org/10.14711/thesis-b1334497 ; http://repository.ust.hk/ir/bitstream/1783.1-71736/1/th_redirect.html

► In this thesis, we propose two possible candidates for two-dimensional superconductors. One has a nodal d_x2-_y2-wave pairing and a layered structure which can cause both… (more)

Subjects/Keywords: Superconductors ; Mathematical models ; Symmetry (Physics)

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APA (6^th Edition):

Yuan, F. (2014). Two possible candidates for the two-dimensional topological superconductors. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-71736 ; https://doi.org/10.14711/thesis-b1334497 ; http://repository.ust.hk/ir/bitstream/1783.1-71736/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yuan, Fanqi. “Two possible candidates for the two-dimensional topological superconductors.” 2014. Thesis, Hong Kong University of Science and Technology. Accessed January 26, 2021. http://repository.ust.hk/ir/Record/1783.1-71736 ; https://doi.org/10.14711/thesis-b1334497 ; http://repository.ust.hk/ir/bitstream/1783.1-71736/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yuan, Fanqi. “Two possible candidates for the two-dimensional topological superconductors.” 2014. Web. 26 Jan 2021.

Vancouver:

Yuan F. Two possible candidates for the two-dimensional topological superconductors. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2014. [cited 2021 Jan 26]. Available from: http://repository.ust.hk/ir/Record/1783.1-71736 ; https://doi.org/10.14711/thesis-b1334497 ; http://repository.ust.hk/ir/bitstream/1783.1-71736/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yuan F. Two possible candidates for the two-dimensional topological superconductors. [Thesis]. Hong Kong University of Science and Technology; 2014. Available from: http://repository.ust.hk/ir/Record/1783.1-71736 ; https://doi.org/10.14711/thesis-b1334497 ; http://repository.ust.hk/ir/bitstream/1783.1-71736/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology

18. Wei, Xiaoyu MATH. Fast integral equation methods for Cahn-Hilliard equation.

Degree: 2018, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-96218 ; https://doi.org/10.14711/thesis-991012655668903412 ; http://repository.ust.hk/ir/bitstream/1783.1-96218/1/th_redirect.html

► The Cahn-Hilliard equation ∅_t = Δ(-∈Δ∅+∅³-∅/∈) is often used in phase-field models to describe interface problems in physics and engineering. In this thesis, we solve… (more)

Subjects/Keywords: Mathematical physics ; Numerical analysis

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APA (6^th Edition):

Wei, X. M. (2018). Fast integral equation methods for Cahn-Hilliard equation. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-96218 ; https://doi.org/10.14711/thesis-991012655668903412 ; http://repository.ust.hk/ir/bitstream/1783.1-96218/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wei, Xiaoyu MATH. “Fast integral equation methods for Cahn-Hilliard equation.” 2018. Thesis, Hong Kong University of Science and Technology. Accessed January 26, 2021. http://repository.ust.hk/ir/Record/1783.1-96218 ; https://doi.org/10.14711/thesis-991012655668903412 ; http://repository.ust.hk/ir/bitstream/1783.1-96218/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wei, Xiaoyu MATH. “Fast integral equation methods for Cahn-Hilliard equation.” 2018. Web. 26 Jan 2021.

Vancouver:

Wei XM. Fast integral equation methods for Cahn-Hilliard equation. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2018. [cited 2021 Jan 26]. Available from: http://repository.ust.hk/ir/Record/1783.1-96218 ; https://doi.org/10.14711/thesis-991012655668903412 ; http://repository.ust.hk/ir/bitstream/1783.1-96218/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wei XM. Fast integral equation methods for Cahn-Hilliard equation. [Thesis]. Hong Kong University of Science and Technology; 2018. Available from: http://repository.ust.hk/ir/Record/1783.1-96218 ; https://doi.org/10.14711/thesis-991012655668903412 ; http://repository.ust.hk/ir/bitstream/1783.1-96218/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Burella, Glen. Constructing Hecke-type Structures, their Representations and Applications.

Degree: 2013, RIAN

URL: http://eprints.maynoothuniversity.ie/4516/

► This thesis is primarily concerned with the construction of a large Hecke-type structure called the double ane Q-dependent braid group. The signicance of this structure… (more)

Subjects/Keywords: Mathematical Physics; Hecke-type Structures

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APA (6^th Edition):

Burella, G. (2013). Constructing Hecke-type Structures, their Representations and Applications. (Thesis). RIAN. Retrieved from http://eprints.maynoothuniversity.ie/4516/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Thesis, RIAN. Accessed January 26, 2021. http://eprints.maynoothuniversity.ie/4516/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Web. 26 Jan 2021.

Vancouver:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Internet] [Thesis]. RIAN; 2013. [cited 2021 Jan 26]. Available from: http://eprints.maynoothuniversity.ie/4516/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Thesis]. RIAN; 2013. Available from: http://eprints.maynoothuniversity.ie/4516/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Rice University

20. Gerbuz, Vitalii. Transport Properties of One-dimensional Quantum Systems.

Degree: PhD, Natural Sciences, 2018, Rice University

URL: http://hdl.handle.net/1911/105723

► We study quantum dynamical properties of discrete one-dimensional models of Schrodinger operators. The first goal of this thesis is to understand the time evolution of… (more)

Subjects/Keywords: Mathematical Physics; Quantum Dynamics

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APA (6^th Edition):

Gerbuz, V. (2018). Transport Properties of One-dimensional Quantum Systems. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/105723

Chicago Manual of Style (16^th Edition):

Gerbuz, Vitalii. “Transport Properties of One-dimensional Quantum Systems.” 2018. Doctoral Dissertation, Rice University. Accessed January 26, 2021. http://hdl.handle.net/1911/105723.

MLA Handbook (7^th Edition):

Gerbuz, Vitalii. “Transport Properties of One-dimensional Quantum Systems.” 2018. Web. 26 Jan 2021.

Vancouver:

Gerbuz V. Transport Properties of One-dimensional Quantum Systems. [Internet] [Doctoral dissertation]. Rice University; 2018. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/1911/105723.

Council of Science Editors:

Gerbuz V. Transport Properties of One-dimensional Quantum Systems. [Doctoral Dissertation]. Rice University; 2018. Available from: http://hdl.handle.net/1911/105723

Loughborough University

21. Schreiber, Veronika. Special vector configurations in geometry and integrable systems.

Degree: PhD, 2014, Loughborough University

URL: http://hdl.handle.net/2134/14695

► The main objects of study of the thesis are two classes of special vector configurations appeared in the geometry and the theory of integrable systems.… (more)

Subjects/Keywords: 515; Mathematical physics; Spectral theory

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APA (6^th Edition):

Schreiber, V. (2014). Special vector configurations in geometry and integrable systems. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/14695

Chicago Manual of Style (16^th Edition):

Schreiber, Veronika. “Special vector configurations in geometry and integrable systems.” 2014. Doctoral Dissertation, Loughborough University. Accessed January 26, 2021. http://hdl.handle.net/2134/14695.

MLA Handbook (7^th Edition):

Schreiber, Veronika. “Special vector configurations in geometry and integrable systems.” 2014. Web. 26 Jan 2021.

Vancouver:

Schreiber V. Special vector configurations in geometry and integrable systems. [Internet] [Doctoral dissertation]. Loughborough University; 2014. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/2134/14695.

Council of Science Editors:

Schreiber V. Special vector configurations in geometry and integrable systems. [Doctoral Dissertation]. Loughborough University; 2014. Available from: http://hdl.handle.net/2134/14695

University of Victoria

22. Steacy, Robert Clifford Bruce. Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1.

Degree: Dept. of Mathematics and Statistics, 2008, University of Victoria

URL: http://hdl.handle.net/1828/350

Subjects/Keywords: Mathematical physics

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APA (6^th Edition):

Steacy, R. C. B. (2008). Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1. (Thesis). University of Victoria. Retrieved from http://hdl.handle.net/1828/350

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Steacy, Robert Clifford Bruce. “Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1.” 2008. Thesis, University of Victoria. Accessed January 26, 2021. http://hdl.handle.net/1828/350.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Steacy, Robert Clifford Bruce. “Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1.” 2008. Web. 26 Jan 2021.

Vancouver:

Steacy RCB. Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1. [Internet] [Thesis]. University of Victoria; 2008. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/1828/350.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Steacy RCB. Existence and nonlinear stability of dynamic solutions to the Vlasov equation under a 1. [Thesis]. University of Victoria; 2008. Available from: http://hdl.handle.net/1828/350

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Melbourne

23. MAYS, ANTHONY. A geometrical triumvirate of real random matrices.

Degree: 2011, University of Melbourne

URL: http://hdl.handle.net/11343/36742

► The eigenvalue correlation functions for random matrix ensembles are fundamental descriptors of the statistical properties of these ensembles. In this work we present a five-step… (more)

▼ The eigenvalue correlation functions for random matrix ensembles are fundamental descriptors of the statistical properties of these ensembles. In this work we present a five-step method for the calculation of these correlation functions, based upon the method of (skew-) orthogonal polynomials. This scheme systematises existing methods and also involves some new techniques. By way of illustration we apply the scheme to the well known case of the Gaussian orthogonal ensemble, before moving on to the real Ginibre ensemble. A generalising parameter is then introduced to interpolate between the GOE and the real Ginibre ensemble. These real matrices have orthogonal symmetry, which is known to lead to Pfaffian or quaternion determinant processes, yet Pfaffians and quaternion determinants are not defined for odd-sized matrices. We present two methods for the calculation of the correlation functions in this case: the first is an extension of the even method, and the second establishes the odd case as a limit of the even case. Having demonstrated our methods by reclaiming known results, we move on to study an ensemble of matrices \bY = \bA^-1 \bB, where \bA and \bB are each real Ginibre matrices. This ensemble is known as the it{real spherical ensemble}. By a convenient fractional linear transformation, we map the eigenvalues into the unit disk to obtain a rotationally invariant distribution of eigenvalues. The correlation functions are then calculated in terms of these new variables by means of finding the relevant skew-orthogonal polynomials. The expected number of real eigenvalues is computed, as is the probability of obtaining any number of real eigenvalues; the latter is compared to numerical simulation. The generating function for these probabilities is given by an explicit factorised polynomial, in which the zeroes are gamma functions. We show that in the limit of large matrix dimension, the eigenvalues (after stereographic projection) are uniformly distributed on the sphere, a result which is part of a universality result called the it{spherical law}. By taking a different limit, we also show that the local behaviour of the eigenvalues matches that of the real Ginibre ensemble, which corresponds to the planar limit of the sphere. Lastly, we examine the third ensemble in the triumvirate, the it{real truncated ensemble}, which is formed by truncating L rows and columns from an N × N Haar distributed orthogonal matrix. By applying the five-step scheme and by averaging over characteristic polynomials we proceed to calculate correlation functions and probabilities analogously to the other ensembles considered in this work. The probabilities of obtaining real eigenvalues are again compared to numerical simulation. In the large N limit (with small L) we find that the eigenvalues are uniformly distributed on the anti-sphere (after being suitably projected).…

Subjects/Keywords: random matrices; mathematical physics

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APA (6^th Edition):

MAYS, A. (2011). A geometrical triumvirate of real random matrices. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/36742

Chicago Manual of Style (16^th Edition):

MAYS, ANTHONY. “A geometrical triumvirate of real random matrices.” 2011. Doctoral Dissertation, University of Melbourne. Accessed January 26, 2021. http://hdl.handle.net/11343/36742.

MLA Handbook (7^th Edition):

MAYS, ANTHONY. “A geometrical triumvirate of real random matrices.” 2011. Web. 26 Jan 2021.

Vancouver:

MAYS A. A geometrical triumvirate of real random matrices. [Internet] [Doctoral dissertation]. University of Melbourne; 2011. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/11343/36742.

Council of Science Editors:

MAYS A. A geometrical triumvirate of real random matrices. [Doctoral Dissertation]. University of Melbourne; 2011. Available from: http://hdl.handle.net/11343/36742

University of Melbourne

24. Siu, Steve Wai Chun. Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules.

Degree: 2019, University of Melbourne

URL: http://hdl.handle.net/11343/228926

► This thesis presents the computation of singular vectors of the W_n algebras and the BRST cohomology of modules of the simple vertex operator algebra L_k(sl2)… (more)

Subjects/Keywords: mathematical physics; conformal field theory

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APA (6^th Edition):

Siu, S. W. C. (2019). Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/228926

Chicago Manual of Style (16^th Edition):

Siu, Steve Wai Chun. “Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules.” 2019. Doctoral Dissertation, University of Melbourne. Accessed January 26, 2021. http://hdl.handle.net/11343/228926.

MLA Handbook (7^th Edition):

Siu, Steve Wai Chun. “Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules.” 2019. Web. 26 Jan 2021.

Vancouver:

Siu SWC. Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules. [Internet] [Doctoral dissertation]. University of Melbourne; 2019. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/11343/228926.

Council of Science Editors:

Siu SWC. Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules. [Doctoral Dissertation]. University of Melbourne; 2019. Available from: http://hdl.handle.net/11343/228926

25. Burella, Glen. Constructing Hecke-type Structures, their Representations and Applications.

Degree: 2013, RIAN

URL: http://mural.maynoothuniversity.ie/4516/

► This thesis is primarily concerned with the construction of a large Hecke-type structure called the double ane Q-dependent braid group. The signicance of this structure… (more)

Subjects/Keywords: Mathematical Physics; Hecke-type Structures

Record Details Similar Records Cite « Share

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APA (6^th Edition):

Burella, G. (2013). Constructing Hecke-type Structures, their Representations and Applications. (Thesis). RIAN. Retrieved from http://mural.maynoothuniversity.ie/4516/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Thesis, RIAN. Accessed January 26, 2021. http://mural.maynoothuniversity.ie/4516/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Burella, Glen. “Constructing Hecke-type Structures, their Representations and Applications.” 2013. Web. 26 Jan 2021.

Vancouver:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Internet] [Thesis]. RIAN; 2013. [cited 2021 Jan 26]. Available from: http://mural.maynoothuniversity.ie/4516/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Burella G. Constructing Hecke-type Structures, their Representations and Applications. [Thesis]. RIAN; 2013. Available from: http://mural.maynoothuniversity.ie/4516/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

26. Butson, Dylan. Classical Field Theory in the BV Formalism.

Degree: 2016, University of Waterloo

URL: http://hdl.handle.net/10012/10871

This document is a review of the perspective on classical eld theories presented in [2] and [3].

Subjects/Keywords: Mathematical Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Butson, D. (2016). Classical Field Theory in the BV Formalism. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/10871

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Butson, Dylan. “Classical Field Theory in the BV Formalism.” 2016. Thesis, University of Waterloo. Accessed January 26, 2021. http://hdl.handle.net/10012/10871.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Butson, Dylan. “Classical Field Theory in the BV Formalism.” 2016. Web. 26 Jan 2021.

Vancouver:

Butson D. Classical Field Theory in the BV Formalism. [Internet] [Thesis]. University of Waterloo; 2016. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/10012/10871.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Butson D. Classical Field Theory in the BV Formalism. [Thesis]. University of Waterloo; 2016. Available from: http://hdl.handle.net/10012/10871

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Massey University

27. Shamailov, Sophie S. Quantum description of dark solitions in one-dimensional quantum gases.

Degree: PhD, Physics, 2017, Massey University

URL: http://hdl.handle.net/10179/13009

► The main objective of this thesis is to explain, from the quantum-mechanical point of view, the nature of dark solitons in one-dimensional cold-atom systems. Models… (more)

▼ The main objective of this thesis is to explain, from the quantum-mechanical point of view, the nature of dark solitons in one-dimensional cold-atom systems. Models of bosons and fermions with contact interactions on a ring are exactly solvable via the Bethe ansatz, and support so-called type-II elementary excitations. These have long been associated with dark solitons of the Gross-Pitaevskii equation due to the similarity of the dispersion relation, despite the completely different physical properties of the states. Fully understanding this connection is our primary aim. We begin by reviewing the Gross-Pitaevskii equation and its dark soliton solutions. Next, we solve the mean-field problem of two coupled one-dimensional Bose-Einstein condensates, with special emphasis on Josephson vortices and their dispersion relation. Predictions are given for possible experimental detection. Then we give a derivation that justifies a method for the extraction of the so-called missing particle number from the dispersion relation of solitonic excitations. A derivation of the finite Bethe ansatz equations for the Lieb-Liniger and Yang- Gaudin models follows. These describe a single species of bosons and two component fermions, respectively. We review the elementary excitations of the Lieb-Linger model, and carry out a comprehensive study of the (much richer) excitations of the Yang-Gaudin model. The thermodynamic limit Bethe ansatz equations for all states of interest in both models are derived, and the missing particle number and the closely-related phase-step are extracted from the dispersion relations. Next, we develop a method for approximating the finite-system dispersion relation of solitonic excitations from the thermodynamic limit results. Finally, we show that the single particle density and phase profiles of appropriatelyformed superpositions of type-II states with different momenta exhibit solitonic features. Through this idea, the missing particle number and phase step extracted from the dispersion relation gain physical meaning. Moreover, we use a convolution model to extract the fundamental quantum dark soliton length scale across the range of interactions and momenta. The insight gained in the bosonic case is used to make inferences about dark solitons in the fermionic case. Furthermore, we study the Hess-Fairbank effect in the repulsive Yang-Gaudin model and the fermionic super Tonks-Girardeau regime.

Subjects/Keywords: Solitons; Mathematical physics; Quantum theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Shamailov, S. S. (2017). Quantum description of dark solitions in one-dimensional quantum gases. (Doctoral Dissertation). Massey University. Retrieved from http://hdl.handle.net/10179/13009

Chicago Manual of Style (16^th Edition):

Shamailov, Sophie S. “Quantum description of dark solitions in one-dimensional quantum gases.” 2017. Doctoral Dissertation, Massey University. Accessed January 26, 2021. http://hdl.handle.net/10179/13009.

MLA Handbook (7^th Edition):

Shamailov, Sophie S. “Quantum description of dark solitions in one-dimensional quantum gases.” 2017. Web. 26 Jan 2021.

Vancouver:

Shamailov SS. Quantum description of dark solitions in one-dimensional quantum gases. [Internet] [Doctoral dissertation]. Massey University; 2017. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/10179/13009.

Council of Science Editors:

Shamailov SS. Quantum description of dark solitions in one-dimensional quantum gases. [Doctoral Dissertation]. Massey University; 2017. Available from: http://hdl.handle.net/10179/13009

University of New South Wales

28. Capel, Joshua. Classification of second-order conformally-superintegrable systems.

Degree: Mathematics & Statistics, 2014, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

► Over the last half century the study of superintegrable systems has established itself as an interesting subject with connections to some of the earliest known… (more)

Subjects/Keywords: Representation Theory; Superintegrability; Mathematical Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Capel, J. (2014). Classification of second-order conformally-superintegrable systems. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Capel, Joshua. “Classification of second-order conformally-superintegrable systems.” 2014. Doctoral Dissertation, University of New South Wales. Accessed January 26, 2021. http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Capel, Joshua. “Classification of second-order conformally-superintegrable systems.” 2014. Web. 26 Jan 2021.

Vancouver:

Capel J. Classification of second-order conformally-superintegrable systems. [Internet] [Doctoral dissertation]. University of New South Wales; 2014. [cited 2021 Jan 26]. Available from: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true.

Council of Science Editors:

Capel J. Classification of second-order conformally-superintegrable systems. [Doctoral Dissertation]. University of New South Wales; 2014. Available from: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

Rutgers University

29. Brahmia, Suzanne M. , 1963-. Mathematization in introductory physics.

Degree: PhD, Physics and Astronomy, 2014, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/45215/

►

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors… (more)

▼

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students’ struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor’s desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students’ initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in doing physics. It contrasts with their more common experience with mathematics as the practice of specified procedures to improve efficiency. This paper describes new curricular materials based on invention instruction provide students with opportunities to generate mathematical relationships in physics, and the paper presents preliminary evidence of the effectiveness of this method with mathematically underprepared engineering students.

Advisors/Committee Members: Etkina, Eugenia (chair), Kalelkar, Mohan (internal member), Pryor, Tad (internal member), Ransome, Ronald (internal member), Weber, Keith (outside member).

Subjects/Keywords: Physics – Study and teaching; Mathematical physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Brahmia, Suzanne M. , 1. (2014). Mathematization in introductory physics. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/45215/

Chicago Manual of Style (16^th Edition):

Brahmia, Suzanne M. , 1963-. “Mathematization in introductory physics.” 2014. Doctoral Dissertation, Rutgers University. Accessed January 26, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/45215/.

MLA Handbook (7^th Edition):

Brahmia, Suzanne M. , 1963-. “Mathematization in introductory physics.” 2014. Web. 26 Jan 2021.

Vancouver:

Brahmia, Suzanne M. 1. Mathematization in introductory physics. [Internet] [Doctoral dissertation]. Rutgers University; 2014. [cited 2021 Jan 26]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/45215/.

Council of Science Editors:

Brahmia, Suzanne M. 1. Mathematization in introductory physics. [Doctoral Dissertation]. Rutgers University; 2014. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/45215/

Michigan State University

30. Yuan, Fei (Software engineer). Addition and removal energies via the in-medium similarity renormalization group method.

Degree: 2018, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:6982

►

"The in-medium similarity renormalization group (IM-SRG) is an ab initio many-body method suitable for systems with moderate numbers of particles due to its polynomial scaling… (more)

Subjects/Keywords: Renormalization group; Particles (Nuclear physics) – Mathematical models; Nuclear physics – Mathematical models; Quantum dots – Mathematical models; Physics; Computational physics; Quantum physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Yuan, F. (. e. (2018). Addition and removal energies via the in-medium similarity renormalization group method. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:6982

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yuan, Fei (Software engineer). “Addition and removal energies via the in-medium similarity renormalization group method.” 2018. Thesis, Michigan State University. Accessed January 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:6982.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yuan, Fei (Software engineer). “Addition and removal energies via the in-medium similarity renormalization group method.” 2018. Web. 26 Jan 2021.

Vancouver:

Yuan F(e. Addition and removal energies via the in-medium similarity renormalization group method. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Jan 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:6982.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yuan F(e. Addition and removal energies via the in-medium similarity renormalization group method. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:6982

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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