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MFE

Seminar

Speed of convergence to equilibrium for systems with contracting fibers and the logarithm law for Lorenz like flows.

Galatolo, S (UniversitÓ di Pisa)
Thursday 14 November 2013, 11:00-12:00

Seminar Room 1, Newton Institute

Abstract

A system satisfy a logarithm law if the time which is needed to hit a small target scales as the inverse of the measure of the target. This kind of laws, related to the occurrence of a rare event are also related to the arithmetical properties and to the speed of mixing of the system. I will present a short introduction to the subject and show how a general statement about the speed of convergence to equilibrium for systems with contracting fibers can be applied to deduce the logarithm law for a class of singular hyperbolic flows.

Presentation

[pdf ]

Video

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