Entropy, Lyapunov exponents, and mean free path for billiards
- Cite this article as:
- Chernov, N. J Stat Phys (1997) 88: 1. doi:10.1007/BF02508462
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We review known results and derive some new ones about the mean free path, Kolmogorov-Sinai entropy, and Lyapunov exponents for billiard-type dynamical systems. We focus on exact and asymptotic formulas for these quantities. The dynamical systems covered in this paper include the priodic Lorentz gas, the stadium and its modifications, and the gas of hard balls. Some open questions and numerical observations are discussed.