Article

Annales Henri Poincaré

, Volume 9, Issue 7, pp 1309-1369

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards

  • Péter BálintAffiliated withMathematical Institute of the Technical University of Budapest Email author 
  • , Imre Péter TóthAffiliated withMTA-BME Stochastics Research Group

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.