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Workshop

Place

Location: Online -
Address: Strada Costiera, 11 I - 34151 Trieste (Italy)
Room: Online
Date: 7 Dec 14:00 - 16:30

Timetable | Contribution List

Displaying 2 contributions out of 2
Session: Workshop
The top Lyapunov exponent and the entropy are well-known to depend discontinuously on the invariant measures. We show that the two defects in lower semicontinuity are linked for $C^\infty$ smooth surface diffeomorphisms. In particular, for a given sequence of ergodic measures, continuity of the entropy implies that of the exponent. The proof relies on Yomdin theory and a key reparametrization lemm ... More
Presented by Jerome BUZZI on 7/12/2021 at 13:00
Session: Workshop
Establishing sharp bounds on the mixing rates of non-uniformly hyperbolic maps has been an active area of research for some time and Markov partitions in one way or another play an important role in this area. In this talk I will focus on a class of 2D, (non-uniformly) hyperbolic, symplectic (area preserving) maps that exhibit intermittent behaviour near a fixed point. The systems under considerat ... More
Presented by Peyman ESLAMI on 7/12/2021 at 14:15
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Organizers

José Ferreira Alves (U. of Porto, Portugal), Yuri Lima (UFC, Brazil), Local Organiser: Stefano Luzzatto

Co-sponsors