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

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2013

Author dc:creator

• Bonnell, Christopher

Contributors dc:contributor

• DeVille, Robert E.
• Sowers, Richard B.
• Bronski, Jared C.
• Rapti, Zoi

• stochastic differential equation (SDE)
• combinatorics
• formal language
• applied mathematics
• SISR
• asymptotics
• scale-separated stochastic differential equation

Statement dc:rights

• Copyright 2013 Christopher Bonnell

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/44384

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/44384