+publisher:"Georgia Tech" +contributor:("Loss, Michael")

Georgia Tech

1. Kieffer, Thomas Forrest. The Maxwell-Pauli Equations.

Degree: PhD, Mathematics, 2020, Georgia Tech

► We study the quantum mechanical many-body problem of N ≥ 1 non-relativistic electrons with spin interacting with their self-generated classical electromagnetic field and K ≥… (more)

Subjects/Keywords: Mathematical Physics; The Analysis of Partial Differential Equations

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APA (6^th Edition):

Kieffer, T. F. (2020). The Maxwell-Pauli Equations. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/62787

Chicago Manual of Style (16^th Edition):

Kieffer, Thomas Forrest. “The Maxwell-Pauli Equations.” 2020. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/62787.

MLA Handbook (7^th Edition):

Kieffer, Thomas Forrest. “The Maxwell-Pauli Equations.” 2020. Web. 01 Mar 2021.

Vancouver:

Kieffer TF. The Maxwell-Pauli Equations. [Internet] [Doctoral dissertation]. Georgia Tech; 2020. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/62787.

Council of Science Editors:

Kieffer TF. The Maxwell-Pauli Equations. [Doctoral Dissertation]. Georgia Tech; 2020. Available from: http://hdl.handle.net/1853/62787

Georgia Tech

2. Einav, Amit. Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian.

Degree: PhD, Mathematics, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/42788

► The presented work deals with two distinct problems in the field of Mathematical Physics. The first part is dedicated to an 'almost' solution of Villani's… (more)

Subjects/Keywords: Fractional laplacian; Villani's conjecture; Entropy production; Kac's model; Trace inequality; Mathematical physics; Statistical mechanics; Transport theory; Particle methods (Numerical analysis); Inequalities (Mathematics)

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APA (6^th Edition):

Einav, A. (2011). Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/42788

Chicago Manual of Style (16^th Edition):

Einav, Amit. “Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian.” 2011. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/42788.

MLA Handbook (7^th Edition):

Einav, Amit. “Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian.” 2011. Web. 01 Mar 2021.

Vancouver:

Einav A. Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/42788.

Council of Science Editors:

Einav A. Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/42788

Georgia Tech

3. Dever, John William. Local space and time scaling exponents for diffusion on compact metric spaces.

Degree: PhD, Mathematics, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/60250

► We provide a new definition of a local walk dimension beta that depends only on the metric and not on the existence of a particular… (more)

▼ We provide a new definition of a local walk dimension beta that depends only on the metric and not on the existence of a particular regular Dirichlet form or heat kernel asymptotics. Moreover, we study the local Hausdorff dimension alpha and prove that any variable Ahlfors regular measure of variable dimension Q is strongly equivalent to the local Haudorff measure with Q equal to alpha, generalizing the constant dimensional case. Additionally, we provide constructions of several variable dimensional spaces, including a new example of a variable dimensional Sierpinski carpet. We show also that there exist natural examples where alpha and beta both vary continuously. We prove that beta is greater than or equal to two provided the space is doubling. We use the local exponent beta in time-scale renormalization of discrete time random walks, that are approximate at a given scale in the sense that the expected jump size is the order of the space scale. In analogy with the variable Ahlfors regularity space scaling condition involving alpha, we consider the condition that the expected time to leave a ball scales like the radius of the ball to the power beta of the center. Under this local time scaling condition along with the local space scaling condition of Ahlfors regularity, we then study the Gamma and Mosco convergence of the resulting continuous time approximate walks as the space scale goes to zero. We prove that a non-trivial Dirichlet form with Dirichlet boundary conditions on a ball exists as a Mosco limit of approximate forms. One of the novel ideas in this construction is the use of exit time functions, analogous to the torsion functions of Riemannian geometry, as test functions to ensure the resulting domain contains enough functions. We also prove tightness of the associated continuous time processes. Advisors/Committee Members: Bellissard, Jean (advisor), Harrell, Evans (advisor), Loss, Michael (committee member), Tao, Molei (committee member), Bakhtin, Yuri (committee member), Cvitanović, Predrag (committee member), Teplyaev, Alexander (committee member).

Subjects/Keywords: Local walk dimension; Variable Ahlfors regularity; Local dimension; Metric geometry; Variable exponent; Random walks on fractal graphs; Mean exit time; Gamma convergence; Mosco convergence; Weak convergence; Diffusion on fractals

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APA (6^th Edition):

Dever, J. W. (2018). Local space and time scaling exponents for diffusion on compact metric spaces. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/60250

Chicago Manual of Style (16^th Edition):

Dever, John William. “Local space and time scaling exponents for diffusion on compact metric spaces.” 2018. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/60250.

MLA Handbook (7^th Edition):

Dever, John William. “Local space and time scaling exponents for diffusion on compact metric spaces.” 2018. Web. 01 Mar 2021.

Vancouver:

Dever JW. Local space and time scaling exponents for diffusion on compact metric spaces. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/60250.

Council of Science Editors:

Dever JW. Local space and time scaling exponents for diffusion on compact metric spaces. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/60250

4. Viana Camejo, Mikel. Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains.

Degree: PhD, Mathematics, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/59176

We present a very general theory that includes results on the persistence of quasi-periodic orbits of systems subject to quasi-periodic perturbations. Advisors/Committee Members: Loss, Michael (committee member), Zeng, Chongchun (committee member), Jorba, Angel (committee member), Bonetto, Federico (committee member).

Subjects/Keywords: Quasi-periodic dynamics; KAM theory; Lower dimensional elliptic tori; Skew-products; Compensated domains

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APA (6^th Edition):

Viana Camejo, M. (2018). Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59176

Chicago Manual of Style (16^th Edition):

Viana Camejo, Mikel. “Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains.” 2018. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/59176.

MLA Handbook (7^th Edition):

Viana Camejo, Mikel. “Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains.” 2018. Web. 01 Mar 2021.

Vancouver:

Viana Camejo M. Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/59176.

Council of Science Editors:

Viana Camejo M. Results on invariant whiskered tori for fibered holomorphic maps and on compensated domains. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/59176

5. Sedjro, Marc Mawulom. On the almost axisymmetric flows with forcing terms.

Degree: PhD, Mathematics, 2012, Georgia Tech

URL: http://hdl.handle.net/1853/44879

► This work is concerned with the Almost Axisymmetric Flows with Forcing Terms which are derived from the inviscid Boussinesq equations. It is our hope that… (more)

Subjects/Keywords: Wasserstein space; Boussinesq; Monge-Ampère equations; Axisymmetric flows; Hamiltonian system; Axial flow; Cyclones

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APA (6^th Edition):

Sedjro, M. M. (2012). On the almost axisymmetric flows with forcing terms. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/44879

Chicago Manual of Style (16^th Edition):

Sedjro, Marc Mawulom. “On the almost axisymmetric flows with forcing terms.” 2012. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/44879.

MLA Handbook (7^th Edition):

Sedjro, Marc Mawulom. “On the almost axisymmetric flows with forcing terms.” 2012. Web. 01 Mar 2021.

Vancouver:

Sedjro MM. On the almost axisymmetric flows with forcing terms. [Internet] [Doctoral dissertation]. Georgia Tech; 2012. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/44879.

Council of Science Editors:

Sedjro MM. On the almost axisymmetric flows with forcing terms. [Doctoral Dissertation]. Georgia Tech; 2012. Available from: http://hdl.handle.net/1853/44879

6. Sloane, Craig Andrew. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains.

Degree: PhD, Mathematics, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/41125

► This thesis will present new results involving Hardy and Hardy-Sobolev-Maz'ya inequalities for fractional integrals. There are two key ingredients to many of these results. The… (more)

Subjects/Keywords: Maz'ya; Hardy; Sobolev spaces; Inequalities; Rearrangments; Functional analysis; Inequalities (Mathematics); Fractional integrals

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APA (6^th Edition):

Sloane, C. A. (2011). Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/41125

Chicago Manual of Style (16^th Edition):

Sloane, Craig Andrew. “Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains.” 2011. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/41125.

MLA Handbook (7^th Edition):

Sloane, Craig Andrew. “Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains.” 2011. Web. 01 Mar 2021.

Vancouver:

Sloane CA. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/41125.

Council of Science Editors:

Sloane CA. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/41125

7. Kim, Hwa Kil. Hamiltonian systems and the calculus of differential forms on the Wasserstein space.

Degree: PhD, Mathematics, 2009, Georgia Tech

URL: http://hdl.handle.net/1853/29720

► This thesis consists of two parts. In the first part, we study stability properties of Hamiltonian systems on the Wasserstein space. Let H be a… (more)

Subjects/Keywords: Hamiltonian systems; Differential forms; Wasserstein space; Hamiltonian systems; Differential forms

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APA (6^th Edition):

Kim, H. K. (2009). Hamiltonian systems and the calculus of differential forms on the Wasserstein space. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/29720

Chicago Manual of Style (16^th Edition):

Kim, Hwa Kil. “Hamiltonian systems and the calculus of differential forms on the Wasserstein space.” 2009. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/29720.

MLA Handbook (7^th Edition):

Kim, Hwa Kil. “Hamiltonian systems and the calculus of differential forms on the Wasserstein space.” 2009. Web. 01 Mar 2021.

Vancouver:

Kim HK. Hamiltonian systems and the calculus of differential forms on the Wasserstein space. [Internet] [Doctoral dissertation]. Georgia Tech; 2009. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/29720.

Council of Science Editors:

Kim HK. Hamiltonian systems and the calculus of differential forms on the Wasserstein space. [Doctoral Dissertation]. Georgia Tech; 2009. Available from: http://hdl.handle.net/1853/29720

8. Vaidyanathan, Ranjini. Thermostated Kac models.

Degree: PhD, Mathematics, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/54446

► We consider a model of N particles interacting through a Kac-style collision process, with m particles among them interacting, in addition, with a thermostat. When… (more)

Subjects/Keywords: Kinetic theory; Spectral gap; Heat bath

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APA (6^th Edition):

Vaidyanathan, R. (2015). Thermostated Kac models. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/54446

Chicago Manual of Style (16^th Edition):

Vaidyanathan, Ranjini. “Thermostated Kac models.” 2015. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/54446.

MLA Handbook (7^th Edition):

Vaidyanathan, Ranjini. “Thermostated Kac models.” 2015. Web. 01 Mar 2021.

Vancouver:

Vaidyanathan R. Thermostated Kac models. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/54446.

Council of Science Editors:

Vaidyanathan R. Thermostated Kac models. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/54446

9. Awi, Romeo Olivier. Minimization problems involving polyconvex integrands.

Degree: PhD, Mathematics, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/53901

► This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional… (more)

Subjects/Keywords: Relaxation; Duality; Lack of compactness; Euler-lagrange equations and polar factorization

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APA (6^th Edition):

Awi, R. O. (2015). Minimization problems involving polyconvex integrands. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/53901

Chicago Manual of Style (16^th Edition):

Awi, Romeo Olivier. “Minimization problems involving polyconvex integrands.” 2015. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/53901.

MLA Handbook (7^th Edition):

Awi, Romeo Olivier. “Minimization problems involving polyconvex integrands.” 2015. Web. 01 Mar 2021.

Vancouver:

Awi RO. Minimization problems involving polyconvex integrands. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/53901.

Council of Science Editors:

Awi RO. Minimization problems involving polyconvex integrands. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/53901

10. Tossounian, Hagop B. Mathematical problems concerning the Kac model.

Degree: PhD, Mathematics, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58657

► This thesis deals with the Kac model in kinetic theory. Kac’s model is a linear, space homogeneous, n-particle model created by Mark Kac in 1956… (more)

▼ This thesis deals with the Kac model in kinetic theory. Kac’s model is a linear, space homogeneous, n-particle model created by Mark Kac in 1956 in [14] in an attempt to give a derivation of Boltzmann’s equation. The marginals of a distribution under Kac’s evolution are connected to a simple Boltzmann-type equation via the mechanism of “propagation of chaos” given by Kac in [14]. Kac evolution preserves total (kinetic) energy and is ergodic, having the uniform distribution on the constant energy sphere as its equilibrium. The generator of the associated Markov process has a spectral gap that is bounded away from zero uniformly in n. A central question in the field is the speed of approach to equilibrium (or rate of equilibration). The thesis gives the results of the papers [25], [3], and [26] joint work with my collaborators Federico Bonetto, Michael Loss, and Ranjini Vaidyanathan. The work in [25] extends the work in [2] by studying the rate of approach to equilibrium when a fraction α = m/n of the particles interact with a “strong” thermostat. Results in the spectral gap and the (negative of) relative entropy metric are obtained. The work in [3] shows, using both the L2 metric and the Fourier-based metric d2 , that the evolution of the system interacting with the ideal infinite particle thermostat used in the model in [2] can be approximated by the evolution of the same system interacting with a large but finite reservoir. This approximation does not deteriorate with time, and it improves as the number of reservoir particles increases. The work in [26] studies the Kac evolution in the absence of thermostats and reservoirs using the metric d2. It finds an upper bound to the approach to equilibrium, and constructs a family of initial states that for time t0 independent of n shows practically no approach to equilibrium in d2. An independent propagation of chaos result for the model in [25] is also given. Advisors/Committee Members: Loss, Michael (advisor), Federico, Bonetto (committee member), de la Llave, Rafael (committee member), Harrell, Evans (committee member), Kennedy, Brian (committee member).

Subjects/Keywords: Kinetic theory; Kac model; Partially thermostated Kac model; Non-equilibrium statistical mechanics; Equilibration; GTW metric

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APA (6^th Edition):

Tossounian, H. B. (2017). Mathematical problems concerning the Kac model. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58657

Chicago Manual of Style (16^th Edition):

Tossounian, Hagop B. “Mathematical problems concerning the Kac model.” 2017. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/58657.

MLA Handbook (7^th Edition):

Tossounian, Hagop B. “Mathematical problems concerning the Kac model.” 2017. Web. 01 Mar 2021.

Vancouver:

Tossounian HB. Mathematical problems concerning the Kac model. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/58657.

Council of Science Editors:

Tossounian HB. Mathematical problems concerning the Kac model. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58657

11. Zhang, Lei. Analysis and numerical methods in solid state physics and chemistry.

Degree: PhD, Mathematics, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58675

► In the first part of the paper, we consider an atomic model of deposition over a quasi-periodic medium, that is, a quasi-periodic version of the… (more)

Subjects/Keywords: Mathematical physics; Dynamical system; Frennkel-Kontorova model; Normally hyperbolic invariant manifolds; Parameterization method

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APA (6^th Edition):

Zhang, L. (2017). Analysis and numerical methods in solid state physics and chemistry. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58675

Chicago Manual of Style (16^th Edition):

Zhang, Lei. “Analysis and numerical methods in solid state physics and chemistry.” 2017. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/58675.

MLA Handbook (7^th Edition):

Zhang, Lei. “Analysis and numerical methods in solid state physics and chemistry.” 2017. Web. 01 Mar 2021.

Vancouver:

Zhang L. Analysis and numerical methods in solid state physics and chemistry. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/58675.

Council of Science Editors:

Zhang L. Analysis and numerical methods in solid state physics and chemistry. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58675

12. Ghanta, Rohan. The polaron hydrogenic atom in a strong magnetic field.

Degree: PhD, Mathematics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61780

► It is shown that: (1) The ground-state electron density of a polaron bound in a Coulomb potential and exposed to a homogeneous magnetic field of… (more)

Subjects/Keywords: Polaron; Strong magnetic fields

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APA (6^th Edition):

Ghanta, R. (2019). The polaron hydrogenic atom in a strong magnetic field. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61780

Chicago Manual of Style (16^th Edition):

Ghanta, Rohan. “The polaron hydrogenic atom in a strong magnetic field.” 2019. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/61780.

MLA Handbook (7^th Edition):

Ghanta, Rohan. “The polaron hydrogenic atom in a strong magnetic field.” 2019. Web. 01 Mar 2021.

Vancouver:

Ghanta R. The polaron hydrogenic atom in a strong magnetic field. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/61780.

Council of Science Editors:

Ghanta R. The polaron hydrogenic atom in a strong magnetic field. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61780

Georgia Tech

13. Hupp, Philipp. Mahler's conjecture in convex geometry: a summary and further numerical analysis.

Degree: MS, Mathematics, 2010, Georgia Tech

URL: http://hdl.handle.net/1853/37262

► In this thesis we study Mahler's conjecture in convex geometry, give a short summary about its history, gather and explain different approaches that have been… (more)

Subjects/Keywords: Dual body; Convex geometry; Mahler volume; Volume product; Convex geometry; Volume (Cubic content)

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APA (6^th Edition):

Hupp, P. (2010). Mahler's conjecture in convex geometry: a summary and further numerical analysis. (Masters Thesis). Georgia Tech. Retrieved from http://hdl.handle.net/1853/37262

Chicago Manual of Style (16^th Edition):

Hupp, Philipp. “Mahler's conjecture in convex geometry: a summary and further numerical analysis.” 2010. Masters Thesis, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/37262.

MLA Handbook (7^th Edition):

Hupp, Philipp. “Mahler's conjecture in convex geometry: a summary and further numerical analysis.” 2010. Web. 01 Mar 2021.

Vancouver:

Hupp P. Mahler's conjecture in convex geometry: a summary and further numerical analysis. [Internet] [Masters thesis]. Georgia Tech; 2010. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/37262.

Council of Science Editors:

Hupp P. Mahler's conjecture in convex geometry: a summary and further numerical analysis. [Masters Thesis]. Georgia Tech; 2010. Available from: http://hdl.handle.net/1853/37262

Georgia Tech

14. Pugliese, Alessandro. Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices.

Degree: PhD, Mathematics, 2008, Georgia Tech

URL: http://hdl.handle.net/1853/24730

► In this thesis, we consider real matrix functions that depend on two parameters and study the problem of how to detect and approximate parameters' values… (more)

Subjects/Keywords: Periodicity; Matrix function; Eigenvalues; Conical intersection; Singular values; Eigenvalues; Matrices; Decomposition (Mathematics); Algorithms; Eigenvectors; Differential operators

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APA (6^th Edition):

Pugliese, A. (2008). Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/24730

Chicago Manual of Style (16^th Edition):

Pugliese, Alessandro. “Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices.” 2008. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/24730.

MLA Handbook (7^th Edition):

Pugliese, Alessandro. “Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices.” 2008. Web. 01 Mar 2021.

Vancouver:

Pugliese A. Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices. [Internet] [Doctoral dissertation]. Georgia Tech; 2008. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/24730.

Council of Science Editors:

Pugliese A. Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices. [Doctoral Dissertation]. Georgia Tech; 2008. Available from: http://hdl.handle.net/1853/24730

Georgia Tech

15. Yildirim Yolcu, Selma. Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian.

Degree: PhD, Mathematics, 2009, Georgia Tech

URL: http://hdl.handle.net/1853/31649

► Some eigenvalue inequalities for Klein-Gordon operators and fractional Laplacians restricted to a bounded domain are proved. Such operators became very popular recently as they arise… (more)

Subjects/Keywords: Fractional Laplacian; Klein-Gordon operator; Eigenvalue; Laplacian operator; Eigenvalues; Klein-Gordon equation; Spectral theory (Mathematics)

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APA (6^th Edition):

Yildirim Yolcu, S. (2009). Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/31649

Chicago Manual of Style (16^th Edition):

Yildirim Yolcu, Selma. “Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian.” 2009. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/31649.

MLA Handbook (7^th Edition):

Yildirim Yolcu, Selma. “Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian.” 2009. Web. 01 Mar 2021.

Vancouver:

Yildirim Yolcu S. Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian. [Internet] [Doctoral dissertation]. Georgia Tech; 2009. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/31649.

Council of Science Editors:

Yildirim Yolcu S. Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian. [Doctoral Dissertation]. Georgia Tech; 2009. Available from: http://hdl.handle.net/1853/31649

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