Hitting Times and Escape Rates

schedule le mardi 15 mai 2018 de 10h30 à 12h00

Organisé par : David Burguet et Pierre-Antoine Guiheneuf

Intervenant : Mark Demers (Fairfield)
Lieu : Salle Paul Levy (Jussieu salle 16.26.113)

Sujet : Hitting Times and Escape Rates

Résumé :

We discuss a natural connection between two types of recurrence law: hitting times to shrinking targets, and hitting times to a fixed target (often described as escape through a hole). We show that for systems which mix exponentially fast, one can move through a natural parameter space from one law to the other. On the other hand, if the mixing is subexponential, there is a phase transition between the hitting times law and the escape law. This is joint work with Henk Bruin and Mike Todd.