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学术科研

Dynamical Systems Seminar

Measures of maximal entropy and classification of dynamics in low dimension

演讲者：Jérôme Buzzi （巴黎第十一大学）
时间：2018-11-05 10:30-12:00
地点：慧园3栋 415报告厅

Time: 2018-11-05 10:30-12:00

2018-11-06 14:00-15:30

2018-11-12 10:30-12:00

2018-11-13 14:00-15:30

Abstract

For interval maps and surface diffeomorphisms, positive entropy is enough to generalize many properties of uniformly hyperbolic dynamics. Both systems can be represented by Markov shifts and build a spectral decomposition. One will show that this decomposition has finitely many pieces of large entropy and that each piece has a unique measure of maximal entropy. We will conclude by giving an almost Borel classification of these dynamics.