10:00 am Friday, May 12, 2017
Candidacy Talk: Measures of maximal entropy for subshifts of finite type by Frank Lin in RLM 9.166
Topological and measure-theoretic entropy are quantitative ways to measure the complexity of a topological and measure-theoretic dynamical system, respectively. The two parallel theories are brought together by the variational principle, which states that the topological entropy of a topological dynamical system is the supremum of measure-theoretic entropy over all invariant probability measures. One may ask about properties of the measures that achieve this supremum - existence, uniqueness, and ergodic-theoretic properties. We focus on a concrete class of systems in symbolic dynamics called subshifts of finite type (SFT), and discuss the entropy theory of SFT over integers, integers^d, and free groups. Submitted by
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