Date: Monday, March 28, 2022
Location: 3866 East Hall (5:00 PM to 6:00 PM)
Title: Topological Entropy
Abstract: Kolmogorov and Sinai introduced a notion of entropy for a measurepreserving dynamical system in the 1950s to solve the longstanding open problem of the conjugacy of Bernoulli 2shifts and 3shifts. Later, Adler, Konheim and McAndrew introduced a notion of entropy for a topological dynamical system, which was made easier to compute through an equivalent definition by Bowen and Dinaburg. Finally, in the 1970s, Goodwyn related topological and KolmogorovSinai entropy by proving the famous variational principle for entropy. We will build these notions and supplement them with some elementary examples, concluding by stating the variational principle and mentioning the two key conceptual ideas behind its proof.
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Speaker: Chinmaya Kausik
Institution: University of Michigan
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