Vaughn Climenhaga

Graduate Assistant
The Pennsylvania State University

Department of Mathematics

In spring 2007, I took a course in the thermodynamic formalism of chaotic systems, taught by Dr. Asok Ray, which was offered by the Mechanical Engineering department here at Penn State.  The primary textbook we used was the work by Beck & Schlögl; as my final project for that course, I wrote a brief paper summarising some of the main concepts they introduced, all of which turned out to be growth rates of various quantities associated with a system, namely the Lyapunov exponents, the Rényi dimensions and entropies, and the topological pressure, which was the main goal of the paper.  So if any of that strikes your fancy, have a gander at this.


A survey of topological pressure and other growth rates in dynamical systems