Combinatorics of a family of stochastic differential equations with an eye towards topological temperature

Bonnell, Christopher
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http://hdl.handle.net/2142/44384

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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


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