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You searched for +publisher:"University of Illinois – Urbana-Champaign" +contributor:("Kirkpatrick, Kay"). Showing records 1 – 11 of 11 total matches.

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University of Illinois – Urbana-Champaign

1. Berning, Stephen R. Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

 We consider here an extension and generalization of the stochastic neuronal network model developed by DeVille et al.; their model corresponded to an all-to-all network… (more)

Subjects/Keywords: neural network; neuronal network; inhibitory neurons; inhibition; non-monotonic; synchrony; mean-field analysis; integrate-and-fire; limit theorem

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APA (6th Edition):

Berning, S. R. (2015). Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/88189

Chicago Manual of Style (16th Edition):

Berning, Stephen R. “Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/88189.

MLA Handbook (7th Edition):

Berning, Stephen R. “Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons.” 2015. Web. 14 Jul 2020.

Vancouver:

Berning SR. Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/88189.

Council of Science Editors:

Berning SR. Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/88189


University of Illinois – Urbana-Champaign

2. Hasler, Jordan J. Stochastic and deterministic multipatch epidemic models.

Degree: PhD, Mathematics, 2016, University of Illinois – Urbana-Champaign

 This dissertation covers the modeling of epidemics in populations that contain multiple groups that also includes interaction between subgroups. The main techniques employed are thresholds… (more)

Subjects/Keywords: epidemics; dynamical systems; stochastic processes; SIR

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APA (6th Edition):

Hasler, J. J. (2016). Stochastic and deterministic multipatch epidemic models. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/90745

Chicago Manual of Style (16th Edition):

Hasler, Jordan J. “Stochastic and deterministic multipatch epidemic models.” 2016. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/90745.

MLA Handbook (7th Edition):

Hasler, Jordan J. “Stochastic and deterministic multipatch epidemic models.” 2016. Web. 14 Jul 2020.

Vancouver:

Hasler JJ. Stochastic and deterministic multipatch epidemic models. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2016. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/90745.

Council of Science Editors:

Hasler JJ. Stochastic and deterministic multipatch epidemic models. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/90745


University of Illinois – Urbana-Champaign

3. Sharifzadeh, Maryam. Embedding problems and Ramsey-Turán variations in extremal graph theory.

Degree: PhD, Mathematics, 2016, University of Illinois – Urbana-Champaign

 In this dissertation, we will focus on a few problems in extremal graph theory. The first chapter consists of some basic terms and tools. In… (more)

Subjects/Keywords: Combinatorics; Graph; Ramsey-Turan

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APA (6th Edition):

Sharifzadeh, M. (2016). Embedding problems and Ramsey-Turán variations in extremal graph theory. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/93041

Chicago Manual of Style (16th Edition):

Sharifzadeh, Maryam. “Embedding problems and Ramsey-Turán variations in extremal graph theory.” 2016. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/93041.

MLA Handbook (7th Edition):

Sharifzadeh, Maryam. “Embedding problems and Ramsey-Turán variations in extremal graph theory.” 2016. Web. 14 Jul 2020.

Vancouver:

Sharifzadeh M. Embedding problems and Ramsey-Turán variations in extremal graph theory. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2016. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/93041.

Council of Science Editors:

Sharifzadeh M. Embedding problems and Ramsey-Turán variations in extremal graph theory. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/93041


University of Illinois – Urbana-Champaign

4. Nawaz, Tayyab. Applications of Stein's method and large deviations principle's in mean-field O(N) models.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 In the first part of this thesis, we will discuss the classical XY model on complete graph in the mean-field (infinite-vertex) limit. Using theory of… (more)

Subjects/Keywords: Mean-field; Rate function; Total spin; Limit theorem; Phase transition

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APA (6th Edition):

Nawaz, T. (2017). Applications of Stein's method and large deviations principle's in mean-field O(N) models. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97544

Chicago Manual of Style (16th Edition):

Nawaz, Tayyab. “Applications of Stein's method and large deviations principle's in mean-field O(N) models.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/97544.

MLA Handbook (7th Edition):

Nawaz, Tayyab. “Applications of Stein's method and large deviations principle's in mean-field O(N) models.” 2017. Web. 14 Jul 2020.

Vancouver:

Nawaz T. Applications of Stein's method and large deviations principle's in mean-field O(N) models. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/97544.

Council of Science Editors:

Nawaz T. Applications of Stein's method and large deviations principle's in mean-field O(N) models. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97544


University of Illinois – Urbana-Champaign

5. Zeng, Qiang. Poincar�� inequalities in noncommutative Lp spaces.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

 Let (\mathcal{N},τ) be a noncommutative W^* probability space, where \mathcal{N} is a finite von Neumann algebra and τ is a normal faithful tracial state. Let… (more)

Subjects/Keywords: noncommutative Lp spaces; Poincaré inequalities; $\Gamma_2$-criterion; martingale inequalities; Burkholder inequality; spectral gap; diffusion semigroups; transportation cost inequalities; law of the iterated logarithm; subgaussian concentration; 1-cocycle on groups; finite von Neumann algebras

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APA (6th Edition):

Zeng, Q. (2014). Poincar�� inequalities in noncommutative Lp spaces. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/50527

Chicago Manual of Style (16th Edition):

Zeng, Qiang. “Poincar�� inequalities in noncommutative Lp spaces.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/50527.

MLA Handbook (7th Edition):

Zeng, Qiang. “Poincar�� inequalities in noncommutative Lp spaces.” 2014. Web. 14 Jul 2020.

Vancouver:

Zeng Q. Poincar�� inequalities in noncommutative Lp spaces. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/50527.

Council of Science Editors:

Zeng Q. Poincar�� inequalities in noncommutative Lp spaces. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/50527

6. Wang, Xiao. Spatial statistical-physical systems.

Degree: PhD, Mathematics, 2018, University of Illinois – Urbana-Champaign

 Statistical physics, as a branch of modern physics, uses methods of probability theory and statistics to solve physical problems with large populations and approximations. In… (more)

Subjects/Keywords: Particle systems; Anomalous behavior; Braess paradox; Ising model; Simulations.

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APA (6th Edition):

Wang, X. (2018). Spatial statistical-physical systems. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/102487

Chicago Manual of Style (16th Edition):

Wang, Xiao. “Spatial statistical-physical systems.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/102487.

MLA Handbook (7th Edition):

Wang, Xiao. “Spatial statistical-physical systems.” 2018. Web. 14 Jul 2020.

Vancouver:

Wang X. Spatial statistical-physical systems. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/102487.

Council of Science Editors:

Wang X. Spatial statistical-physical systems. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/102487

7. Delcourt, Michelle Jeannette. Viewing extremal and structural problems through a probabilistic lens.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 This thesis focuses on using techniques from probability to solve problems from extremal and structural combinatorics. The main problem in Chapter 2 is determining the… (more)

Subjects/Keywords: Small subgraph conditioning method; Random regular graph; Intersecting families; Star decomposition; Structural graph theory; Extremal combinatorcs

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APA (6th Edition):

Delcourt, M. J. (2017). Viewing extremal and structural problems through a probabilistic lens. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97669

Chicago Manual of Style (16th Edition):

Delcourt, Michelle Jeannette. “Viewing extremal and structural problems through a probabilistic lens.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/97669.

MLA Handbook (7th Edition):

Delcourt, Michelle Jeannette. “Viewing extremal and structural problems through a probabilistic lens.” 2017. Web. 14 Jul 2020.

Vancouver:

Delcourt MJ. Viewing extremal and structural problems through a probabilistic lens. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/97669.

Council of Science Editors:

Delcourt MJ. Viewing extremal and structural problems through a probabilistic lens. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97669

8. McConvey, Andrew Ross. Sufficient conditions for the existence of specified subgraphs in graphs.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 A classical problem in combinatorics is, given graphs G and H, to determine if H is a subgraph of G. It is usually computationally complex… (more)

Subjects/Keywords: Combinatorics; Graph theory; Extremal graph theory; Cycles; Disjoint cycles; Graph packing; Turán number; List packing; Matching; Stable matching; Stable marriage

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APA (6th Edition):

McConvey, A. R. (2017). Sufficient conditions for the existence of specified subgraphs in graphs. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97294

Chicago Manual of Style (16th Edition):

McConvey, Andrew Ross. “Sufficient conditions for the existence of specified subgraphs in graphs.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/97294.

MLA Handbook (7th Edition):

McConvey, Andrew Ross. “Sufficient conditions for the existence of specified subgraphs in graphs.” 2017. Web. 14 Jul 2020.

Vancouver:

McConvey AR. Sufficient conditions for the existence of specified subgraphs in graphs. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/97294.

Council of Science Editors:

McConvey AR. Sufficient conditions for the existence of specified subgraphs in graphs. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97294

9. Petrickova, Sarka. Extremal problems on counting combinatorial structures.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 The fast developing field of extremal combinatorics provides a diverse spectrum of powerful tools with many applications to economics, computer science, and optimization theory. In… (more)

Subjects/Keywords: Extremal; Counting; Triangle-free; Maximal; Structure; Poset; Comparable pair; Chromatic number; Choosability

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APA (6th Edition):

Petrickova, S. (2017). Extremal problems on counting combinatorial structures. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97401

Chicago Manual of Style (16th Edition):

Petrickova, Sarka. “Extremal problems on counting combinatorial structures.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/97401.

MLA Handbook (7th Edition):

Petrickova, Sarka. “Extremal problems on counting combinatorial structures.” 2017. Web. 14 Jul 2020.

Vancouver:

Petrickova S. Extremal problems on counting combinatorial structures. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/97401.

Council of Science Editors:

Petrickova S. Extremal problems on counting combinatorial structures. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97401

10. Cong, Lin. Stability thresholds for signed Laplacians on locally-connected networks.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 In this work we are interested in the stability bifurcations of the dynamical systems defined on graphs, and we use signed graph Laplacians as our… (more)

Subjects/Keywords: Graph Laplacian; Dynamics on graphs

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APA (6th Edition):

Cong, L. (2017). Stability thresholds for signed Laplacians on locally-connected networks. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97363

Chicago Manual of Style (16th Edition):

Cong, Lin. “Stability thresholds for signed Laplacians on locally-connected networks.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/97363.

MLA Handbook (7th Edition):

Cong, Lin. “Stability thresholds for signed Laplacians on locally-connected networks.” 2017. Web. 14 Jul 2020.

Vancouver:

Cong L. Stability thresholds for signed Laplacians on locally-connected networks. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/97363.

Council of Science Editors:

Cong L. Stability thresholds for signed Laplacians on locally-connected networks. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97363

11. Ross, Leslie. Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes.

Degree: PhD, Physics, 2019, University of Illinois – Urbana-Champaign

 This dissertation explores the mean field Heisenberg spin system and its evolution in time. We first study the system in equilibrium, where we explore the… (more)

Subjects/Keywords: Stein's Method; Glauber Dynamics; Heisenberg Spin Systems; Spin Systems; Brownian Motion

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APA (6th Edition):

Ross, L. (2019). Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/106198

Chicago Manual of Style (16th Edition):

Ross, Leslie. “Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes.” 2019. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 14, 2020. http://hdl.handle.net/2142/106198.

MLA Handbook (7th Edition):

Ross, Leslie. “Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes.” 2019. Web. 14 Jul 2020.

Vancouver:

Ross L. Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2019. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/2142/106198.

Council of Science Editors:

Ross L. Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2019. Available from: http://hdl.handle.net/2142/106198

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