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Georgia Tech

1. Bolding, Mark M. Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model.

Degree: PhD, Mathematics, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/59931

► We prove that the evolution of the "most chaotic" dynamical systems consists of three different stages. Consider a finite Markov partition (coarse graining) X of…
(more)

Subjects/Keywords: Dynamical systems; Chaos

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APA (6^{th} Edition):

Bolding, M. M. (2018). Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59931

Chicago Manual of Style (16^{th} Edition):

Bolding, Mark M. “Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model.” 2018. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/59931.

MLA Handbook (7^{th} Edition):

Bolding, Mark M. “Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model.” 2018. Web. 12 Apr 2021.

Vancouver:

Bolding MM. Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/59931.

Council of Science Editors:

Bolding MM. Topics in dynamics: First passage probabilities and chaotic properties of the physical wind-tree model. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/59931

2. Hurth, Tobias. Limit theorems for a one-dimensional system with random switchings.

Degree: MS, Mathematics, 2010, Georgia Tech

URL: http://hdl.handle.net/1853/37201

► We consider a simple one-dimensional random dynamical system with two driving vector fields and random switchings between them. We show that this system satisfies a…
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Subjects/Keywords: One-dimensional random dynamical system; Large deviations principle; Central limit theorem; Invariant density; Driving vector fields; One force - one solution principle; Random switchings; Limit theorems (Probability theory); Random dynamical systems

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APA (6^{th} Edition):

Hurth, T. (2010). Limit theorems for a one-dimensional system with random switchings. (Masters Thesis). Georgia Tech. Retrieved from http://hdl.handle.net/1853/37201

Chicago Manual of Style (16^{th} Edition):

Hurth, Tobias. “Limit theorems for a one-dimensional system with random switchings.” 2010. Masters Thesis, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/37201.

MLA Handbook (7^{th} Edition):

Hurth, Tobias. “Limit theorems for a one-dimensional system with random switchings.” 2010. Web. 12 Apr 2021.

Vancouver:

Hurth T. Limit theorems for a one-dimensional system with random switchings. [Internet] [Masters thesis]. Georgia Tech; 2010. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/37201.

Council of Science Editors:

Hurth T. Limit theorems for a one-dimensional system with random switchings. [Masters Thesis]. Georgia Tech; 2010. Available from: http://hdl.handle.net/1853/37201

3. Yurchenko, Aleksey. Some problems in the theory of open dynamical systems and deterministic walks in random environments.

Degree: PhD, Mathematics, 2008, Georgia Tech

URL: http://hdl.handle.net/1853/26549

► The first part of this work deals with open dynamical systems. A natural question of how the survival probability depends upon a position of a…
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Subjects/Keywords: Open dynamical systems; Escape rate; Autocorrelation function; Dynamical systems; Holes; Dynamics; Chaotic behavior in systems

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APA (6^{th} Edition):

Yurchenko, A. (2008). Some problems in the theory of open dynamical systems and deterministic walks in random environments. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/26549

Chicago Manual of Style (16^{th} Edition):

Yurchenko, Aleksey. “Some problems in the theory of open dynamical systems and deterministic walks in random environments.” 2008. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/26549.

MLA Handbook (7^{th} Edition):

Yurchenko, Aleksey. “Some problems in the theory of open dynamical systems and deterministic walks in random environments.” 2008. Web. 12 Apr 2021.

Vancouver:

Yurchenko A. Some problems in the theory of open dynamical systems and deterministic walks in random environments. [Internet] [Doctoral dissertation]. Georgia Tech; 2008. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/26549.

Council of Science Editors:

Yurchenko A. Some problems in the theory of open dynamical systems and deterministic walks in random environments. [Doctoral Dissertation]. Georgia Tech; 2008. Available from: http://hdl.handle.net/1853/26549

4. Webb, Benjamin Zachary. Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems.

Degree: PhD, Mathematics, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/39521

► This dissertation can be essentially divided into two parts. The first, consisting of Chapters I, II, and III, studies the graph theoretic nature of complex…
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Subjects/Keywords: Schwarzian derivative; Global stability; Dynamical networks; Spectral equivalence; Graph transformations; Complex matrices; Attractors (Mathematics); Eigenvalues

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APA (6^{th} Edition):

Webb, B. Z. (2011). Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/39521

Chicago Manual of Style (16^{th} Edition):

Webb, Benjamin Zachary. “Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems.” 2011. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/39521.

MLA Handbook (7^{th} Edition):

Webb, Benjamin Zachary. “Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems.” 2011. Web. 12 Apr 2021.

Vancouver:

Webb BZ. Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/39521.

Council of Science Editors:

Webb BZ. Isospectral graph reductions, estimates of matrices' spectra, and eventually negative Schwarzian systems. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/39521

Georgia Tech

5. Hurth, Tobias. Invariant densities for dynamical systems with random switching.

Degree: PhD, Mathematics, 2014, Georgia Tech

URL: http://hdl.handle.net/1853/52274

► We studied invariant measures and invariant densities for dynamical systems with random switching (switching systems, in short). These switching systems can be described by a…
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Subjects/Keywords: Randomly switched ODEs; Piecewise deterministic Markov processes; Invariant densities; Hypoellipticity

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APA (6^{th} Edition):

Hurth, T. (2014). Invariant densities for dynamical systems with random switching. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/52274

Chicago Manual of Style (16^{th} Edition):

Hurth, Tobias. “Invariant densities for dynamical systems with random switching.” 2014. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/52274.

MLA Handbook (7^{th} Edition):

Hurth, Tobias. “Invariant densities for dynamical systems with random switching.” 2014. Web. 12 Apr 2021.

Vancouver:

Hurth T. Invariant densities for dynamical systems with random switching. [Internet] [Doctoral dissertation]. Georgia Tech; 2014. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/52274.

Council of Science Editors:

Hurth T. Invariant densities for dynamical systems with random switching. [Doctoral Dissertation]. Georgia Tech; 2014. Available from: http://hdl.handle.net/1853/52274

6. Wu, Jialiang. Hybrid modeling and analysis of multiscale biochemical reaction networks.

Degree: PhD, Biomedical Engineering, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/47723

► This dissertation addresses the development of integrative modeling strategies capable of combining deterministic and stochastic, discrete and continuous, as well as multi-scale features. The first…
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Subjects/Keywords: Generalized mass action kinetics; Biochemical systems theory; Hybrid model; Multiscaled model; Stochastic simulation; Crowding effects; Delay; Agent based modeling; Petri net; Biological control systems; Biological systems; Stochastic models

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

APA (6^{th} Edition):

Wu, J. (2011). Hybrid modeling and analysis of multiscale biochemical reaction networks. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/47723

Chicago Manual of Style (16^{th} Edition):

Wu, Jialiang. “Hybrid modeling and analysis of multiscale biochemical reaction networks.” 2011. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/47723.

MLA Handbook (7^{th} Edition):

Wu, Jialiang. “Hybrid modeling and analysis of multiscale biochemical reaction networks.” 2011. Web. 12 Apr 2021.

Vancouver:

Wu J. Hybrid modeling and analysis of multiscale biochemical reaction networks. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/47723.

Council of Science Editors:

Wu J. Hybrid modeling and analysis of multiscale biochemical reaction networks. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/47723

7. Piriyapongsa, Jittima. Origin and evolution of eukaryotic gene sequences derived from transposable elements.

Degree: PhD, Biology, 2008, Georgia Tech

URL: http://hdl.handle.net/1853/24766

► My dissertation encompasses five different studies that are linked by a common theme the investigation of transposable element (TE) contributions to eukaryotic gene sequences. A…
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Subjects/Keywords: Transposable element; Evolution; Gene; Exonization; MITE; MiRNA; SiRNA; Transposons; Mobile genetic elements; Amino acid sequence

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APA (6^{th} Edition):

Piriyapongsa, J. (2008). Origin and evolution of eukaryotic gene sequences derived from transposable elements. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/24766

Chicago Manual of Style (16^{th} Edition):

Piriyapongsa, Jittima. “Origin and evolution of eukaryotic gene sequences derived from transposable elements.” 2008. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/24766.

MLA Handbook (7^{th} Edition):

Piriyapongsa, Jittima. “Origin and evolution of eukaryotic gene sequences derived from transposable elements.” 2008. Web. 12 Apr 2021.

Vancouver:

Piriyapongsa J. Origin and evolution of eukaryotic gene sequences derived from transposable elements. [Internet] [Doctoral dissertation]. Georgia Tech; 2008. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/24766.

Council of Science Editors:

Piriyapongsa J. Origin and evolution of eukaryotic gene sequences derived from transposable elements. [Doctoral Dissertation]. Georgia Tech; 2008. Available from: http://hdl.handle.net/1853/24766

8. Quo, Chang Feng. Reverse engineering homeostasis in molecular biological systems.

Degree: MS, Biomedical Engineering (Joint GT/Emory Department), 2013, Georgia Tech

URL: http://hdl.handle.net/1853/49144

► This dissertation is an initial study of how modern engineering control may be applied to reverse engineer homeostasis in metabolic pathways using high-throughput biological data.…
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Subjects/Keywords: Comparator; Model-reference; Sphingolipid de novo; Biosynthesis; Homeostasis; Modeling; Systems biology; Homeostasis; Mathematical models; Data mining; Systems biology; Dynamics

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APA (6^{th} Edition):

Quo, C. F. (2013). Reverse engineering homeostasis in molecular biological systems. (Masters Thesis). Georgia Tech. Retrieved from http://hdl.handle.net/1853/49144

Chicago Manual of Style (16^{th} Edition):

Quo, Chang Feng. “Reverse engineering homeostasis in molecular biological systems.” 2013. Masters Thesis, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/49144.

MLA Handbook (7^{th} Edition):

Quo, Chang Feng. “Reverse engineering homeostasis in molecular biological systems.” 2013. Web. 12 Apr 2021.

Vancouver:

Quo CF. Reverse engineering homeostasis in molecular biological systems. [Internet] [Masters thesis]. Georgia Tech; 2013. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/49144.

Council of Science Editors:

Quo CF. Reverse engineering homeostasis in molecular biological systems. [Masters Thesis]. Georgia Tech; 2013. Available from: http://hdl.handle.net/1853/49144

9. Almada Monter, Sergio Angel. Scaling limit for the diffusion exit problem.

Degree: PhD, Mathematics, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/39518

► A stochastic differential equation with vanishing martingale term is studied. Specifically, given a domain D, the asymptotic scaling properties of both the exit time from…
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Subjects/Keywords: Stochastic calculus; Small noise; Stochastic dynamics; Probability; Dynamical systems; Stochastic differential equations; Stochastic analysis; Dynamics

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APA (6^{th} Edition):

Almada Monter, S. A. (2011). Scaling limit for the diffusion exit problem. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/39518

Chicago Manual of Style (16^{th} Edition):

Almada Monter, Sergio Angel. “Scaling limit for the diffusion exit problem.” 2011. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/39518.

MLA Handbook (7^{th} Edition):

Almada Monter, Sergio Angel. “Scaling limit for the diffusion exit problem.” 2011. Web. 12 Apr 2021.

Vancouver:

Almada Monter SA. Scaling limit for the diffusion exit problem. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/39518.

Council of Science Editors:

Almada Monter SA. Scaling limit for the diffusion exit problem. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/39518

10. Shu, Longmei. Topics in dynamical systems.

Degree: PhD, Mathematics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61746

► The thesis consists of two parts. the first one is dealing with isosspectral transformations and the second one with the phenomenon of local immunodeficiency. Isospectral…
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Subjects/Keywords: Isospectral transformations; Generalized eigenvectors; Spectral equivalence; Attractors; Cross-immunoreactivity network; Local immunodeficiency; Minimal stable network

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APA (6^{th} Edition):

Shu, L. (2019). Topics in dynamical systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61746

Chicago Manual of Style (16^{th} Edition):

Shu, Longmei. “Topics in dynamical systems.” 2019. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/61746.

MLA Handbook (7^{th} Edition):

Shu, Longmei. “Topics in dynamical systems.” 2019. Web. 12 Apr 2021.

Vancouver:

Shu L. Topics in dynamical systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/61746.

Council of Science Editors:

Shu L. Topics in dynamical systems. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61746

Georgia Tech

11. Jatunov, Loran Aleksandrovich. Unified Performance Analysis for Third-Generation CDMA Systems.

Degree: PhD, Electrical and Computer Engineering, 2004, Georgia Tech

URL: http://hdl.handle.net/1853/5212

► Analytic models for the performance of the forward link of 3G CDMA systems using different maximum ratio combining (MRC) RAKE finger weight assignments are presented.…
(more)

Subjects/Keywords: CDMA; Bandlimited; Performance analysis; Code division multiple access; Mobile communication systems; Broadband communication systems

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APA (6^{th} Edition):

Jatunov, L. A. (2004). Unified Performance Analysis for Third-Generation CDMA Systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/5212

Chicago Manual of Style (16^{th} Edition):

Jatunov, Loran Aleksandrovich. “Unified Performance Analysis for Third-Generation CDMA Systems.” 2004. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/5212.

MLA Handbook (7^{th} Edition):

Jatunov, Loran Aleksandrovich. “Unified Performance Analysis for Third-Generation CDMA Systems.” 2004. Web. 12 Apr 2021.

Vancouver:

Jatunov LA. Unified Performance Analysis for Third-Generation CDMA Systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2004. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/5212.

Council of Science Editors:

Jatunov LA. Unified Performance Analysis for Third-Generation CDMA Systems. [Doctoral Dissertation]. Georgia Tech; 2004. Available from: http://hdl.handle.net/1853/5212

Georgia Tech

12. Kemenov, Konstantin A. A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows.

Degree: PhD, Aerospace Engineering, 2006, Georgia Tech

URL: http://hdl.handle.net/1853/11520

► A novel computational approach, Two Level Simulation (TLS), was developed based on the explicit reconstruction of the small-scale velocity by solving the small-scale governing equations…
(more)

Subjects/Keywords: Turbulent flows; Large eddy simulations; Subgrid-scale modeling

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APA (6^{th} Edition):

Kemenov, K. A. (2006). A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/11520

Chicago Manual of Style (16^{th} Edition):

Kemenov, Konstantin A. “A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows.” 2006. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/11520.

MLA Handbook (7^{th} Edition):

Kemenov, Konstantin A. “A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows.” 2006. Web. 12 Apr 2021.

Vancouver:

Kemenov KA. A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows. [Internet] [Doctoral dissertation]. Georgia Tech; 2006. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/11520.

Council of Science Editors:

Kemenov KA. A New Two-Scale Decomposition Approach for Large-Eddy Simulation of Turbulent Flows. [Doctoral Dissertation]. Georgia Tech; 2006. Available from: http://hdl.handle.net/1853/11520

Georgia Tech

13. Romanovsky, Igor Alexandrovich. Novel properties of interacting particles in small low-dimensional systems.

Degree: PhD, Physics, 2006, Georgia Tech

URL: http://hdl.handle.net/1853/11603

► This work is about the properties of several low dimensional, small systems of interacting particles. We demonstrate that interaction between particles in the low dimensional…
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Subjects/Keywords: Plasma oscillations in superconductors; Trapped bosons; Luttinger liquid; Thermopower; S/N/S junctions; Aharonov-Bohm effect; Low-dimensional systems; Strongly correlated particles; Quantum theory; Plasma oscillations; Low-dimensional semiconductors; Electron transport

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

APA (6^{th} Edition):

Romanovsky, I. A. (2006). Novel properties of interacting particles in small low-dimensional systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/11603

Chicago Manual of Style (16^{th} Edition):

Romanovsky, Igor Alexandrovich. “Novel properties of interacting particles in small low-dimensional systems.” 2006. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/11603.

MLA Handbook (7^{th} Edition):

Romanovsky, Igor Alexandrovich. “Novel properties of interacting particles in small low-dimensional systems.” 2006. Web. 12 Apr 2021.

Vancouver:

Romanovsky IA. Novel properties of interacting particles in small low-dimensional systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2006. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/11603.

Council of Science Editors:

Romanovsky IA. Novel properties of interacting particles in small low-dimensional systems. [Doctoral Dissertation]. Georgia Tech; 2006. Available from: http://hdl.handle.net/1853/11603

Georgia Tech

14. Grigo, Alexander. Billiards and statistical mechanics.

Degree: PhD, Mathematics, 2009, Georgia Tech

URL: http://hdl.handle.net/1853/29610

► In this thesis we consider mathematical problems related to different aspects of hard sphere systems. In the first part we study planar billiards, which arise…
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Subjects/Keywords: Billiards; Boltzmann equation; Hamiltonian systems; Statistical mechanics; Ergodic theory; Dynamics; Transport theory

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

APA (6^{th} Edition):

Grigo, A. (2009). Billiards and statistical mechanics. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/29610

Chicago Manual of Style (16^{th} Edition):

Grigo, Alexander. “Billiards and statistical mechanics.” 2009. Doctoral Dissertation, Georgia Tech. Accessed April 12, 2021. http://hdl.handle.net/1853/29610.

MLA Handbook (7^{th} Edition):

Grigo, Alexander. “Billiards and statistical mechanics.” 2009. Web. 12 Apr 2021.

Vancouver:

Grigo A. Billiards and statistical mechanics. [Internet] [Doctoral dissertation]. Georgia Tech; 2009. [cited 2021 Apr 12]. Available from: http://hdl.handle.net/1853/29610.

Council of Science Editors:

Grigo A. Billiards and statistical mechanics. [Doctoral Dissertation]. Georgia Tech; 2009. Available from: http://hdl.handle.net/1853/29610