Dynamical Systems Seminar

Title: Uniqueness of the measure of maximal entropy for the standard map
Speaker: Davi Obata
Speaker Info: U. Chicago
Brief Description: Part of Midwest Dynamics Conference
Special Note: Part of Midwest Dynamics Conference

The standard family (or Taylor-Chirikov standard family) is a famous example of a family of dynamical systems having a “simple expression” but with complicated dynamics. A famous conjecture by Sinai states that for large parameters the standard map has positive entropy for the Lebesgue measure. In this talk, I will discuss the proof of the uniqueness of the measure of maximal entropy (m.m.e.) of the standard map for sufficiently large parameters. If time permits, I will also explain some properties for this mme, such as equidistribution of “sufficiently hyperbolic” periodic points and estimates on the dimension of this measure.
Date: Saturday, November 13, 2021
Time: 11:40
Where: Swift 107
Contact Person: Aaron Brown
Contact email: awb@northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.