University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Speed of convergence to equilibrium for systems with contracting fibers and the logarithm law for Lorenz like flows.

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

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Mathematics for the Fluid Earth

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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