, Volume 9, Issue 7, pp 1309-1369
Date: 17 Oct 2008

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards

Abstract.

We prove exponential decay of correlations for a “reasonable” class of multi-dimensional dispersing billiards. The scatterers are required to be C 3 smooth, the horizon is finite, there are no corner points. In addition, we assume subexponential complexity of the singularity set.

Communicated by Viviane Baladi.
Submitted: November 10, 2007. Accepted: May 23, 2008.