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Description
Title: | Combinatorics of a family of stochastic differential equations with an eye towards topological temperature |
Author(s): | Bonnell, Christopher |
Director of Research: | DeVille, Robert E. |
Doctoral Committee Chair(s): | Sowers, Richard B. |
Doctoral Committee Member(s): | DeVille, Robert E.; Bronski, Jared C.; Rapti, Zoi |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | stochastic differential equation (SDE)
combinatorics formal language applied mathematics SISR asymptotics scale-separated stochastic differential equation |
Abstract: | Using the SISR asymptotic, a classification of a class of scale-separated stochastic differential equations is achieved using combinatorics and formal language theory. This is extended to a topological notion of temperature and qualitative results regarding the relatedness of scale separated stochastic dynamical systems by changes in temperature. |
Issue Date: | 2013-05-24 |
URI: | http://hdl.handle.net/2142/44384 |
Rights Information: | Copyright 2013 Christopher Bonnell |
Date Available in IDEALS: | 2013-05-24 |
Date Deposited: | 2013-05 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois