- Series
- Math Physics Seminar
- Time
- Wednesday, April 10, 2013 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jacopo de Simoi – Universita' di Roma Tor Vergata
- Organizer
- Federico Bonetto
Lots of attention and research activity has been devoted to partially
hyperbolic dynamical systems and their perturbations in the past few decades;
however, the main emphasis has been on features such as stable ergodicity and
accessibility rather than stronger statistical properties such as existence of
SRB measures and exponential decay of correlations.
In fact, these properties have been previously proved under some specific
conditions (e.g. Anosov flows, skew products) which, in particular, do not
persist under perturbations.
In this talk, we will construct an open (and thus stable for perturbations)
class of partially hyperbolic smooth local diffeomorphisms of the two-torus
which admit a unique SRB measure satisfying exponential decay of correlations
for Hölder observables.
This is joint work with C. Liverani