Reading course on Dynamical Systems in Fractal Geometry and slides from following talks

We’ll mainly follow this.

There are some books that may be helpful during the reading course, such as:

Walters, ‘An introduction to Ergodic Theory’ (for measure entropy, topological entropy, pressure, etc)
Falconer, ‘Techniques in Fractal Geometry’ (for cookie cutters, pressure and gibbs measures, etc)
Falconer, ‘Fractal Geometry: Mathematical Foundations and Applications’ (for extra information of IFS and dimension)

Talks:

Talk1 Introduction to Dynamics
Talk2 Introduction to Fractal Geometry
Talk3 Intro to cookie cutters
Talk4 Cookie Cutter Set Measure 0
Talk5 Talk5b Topological entropy
Talk6 Measure entropy and variational principle
(there are not notes for the Oct 30 talk on projections)
Talk7 Topological pressure, Ruelle operator, and Gibbs measures
Talk 8 Bowen's formula
Talk 9 and Notes of talk 9 Markov Partitions
Talk 10 and Notes of talk 10 Markov Partitions (part 2)

Brian Marcus continued with the dynamical systems seminar. Here are some talks:

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