Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
- First Online:
- Cite this article as:
- Bálint, P. & Tóth, I.P. Ann. Henri Poincaré (2008) 9: 1309. doi:10.1007/s00023-008-0389-1
- 146 Downloads
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.