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