Document Type
Lecture
Publication Date
4-30-2015
Abstract
A dynamical system can be defined by deterministic rules and still have behavior that appears stochastic. Thermodynamic formalism studies this phenomenon using entropy and other tools adapted from statistical mechanics; roughly speaking, the mechanism is that stochastic behavior is a consequence of the mixing properties of the system. The theory is well understood when the entire system mixes uniformly quickly. I will discuss this case and the more recently studied case where some part of the system mixes slowly.
Relational Format
presentation
Recommended Citation
Climenhaga, Vaughn, "Thermodynamic formalism and uniform mixing properties" (2015). Dynamical Systems Seminar. 13.
https://egrove.olemiss.edu/math_dynamical/13
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