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

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

Bonnell, Christopher

关键词: stochastic differential equation (SDE);    combinatorics;    formal language;    applied mathematics;    SISR;    asymptotics;    scale-separated stochastic differential equation;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/44384/Christopher_Bonnell.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.