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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
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