Research-Measures of maximal entropy and classification of dynamics in low dimension

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Measures of maximal entropy and classification of dynamics in low dimension

Speaker: Jérôme Buzzi (Université Paris-Sud)
Time: Nov 5, 2018, 10:30-12:00
Location: Conference Room 415, Hui Yuan 3#

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.