Annales Henri Poincaré

, Volume 9, Issue 7, pp 1309–1369

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards


DOI: 10.1007/s00023-008-0389-1

Cite this article as:
Bálint, P. & Tóth, I.P. Ann. Henri Poincaré (2008) 9: 1309. doi:10.1007/s00023-008-0389-1


We prove exponential decay of correlations for a “reasonable” class of multi-dimensional dispersing billiards. The scatterers are required to be C3 smooth, the horizon is finite, there are no corner points. In addition, we assume subexponential complexity of the singularity set.

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© Birkhaueser 2008

Authors and Affiliations

  1. 1.Mathematical Institute of the Technical University of BudapestBudapestHungary
  2. 2.MTA-BME Stochastics Research GroupBudapestHungary