Seminar Event Detail

Student Dynamics/Geometry Topology

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 measure-preserving dynamical system in the 1950s to solve the long-standing open problem of the conjugacy of Bernoulli 2-shifts and 3-shifts. 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 Kolmogorov-Sinai 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.


Speaker:  Chinmaya Kausik
Institution:  University of Michigan

Event Organizer:     


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