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

Galatolo, S *(Università 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

#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

## Comments

Start the discussion!