Parabolic Flows Renormalised by Partially Hyperbolic Maps

We will discuss 3-dimensional parabolic flows which are renormalised by circle extensions of Anosov diffeormorphisms (this includes nilflows on the Heisenberg nilmanifold). We use the spectral information of the transfer operators associated to these partially hyperbolic maps to describe the deviation of ergodic averages and solutions of the cohomological equation for the parabolic flow. (Joint work with Lucia Simonelli.)

Date and Venue

Start Date
Venue
FC1. 031

Speaker

Oliver Butterley

Speaker's Institution

Università Tor Vergara - Roma

Area

Dynamical Systems