Large deviation for return times

Orateur: COUTINHO Adriana
Localisation: Université de Bahia, Brésil
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle: 421
Date de début: 02/02/2018 - 10:30
Date de fin: 02/02/2018 - 10:30

We prove a large deviation result for return times of the orbits of a dynamical system in a $r$-neighbourhood of an initial point $x$. Our result may be seen as a dierentiable version of the work by Jain and Bansal who considered the return time of a stationary and ergodic process defined in a space of infinite sequences.