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