Limit Theorems in the Stadium Billiard

Author:

Bálint Péter,Gouëzel Sébastien

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Aaronson, J.: An introduction to infinite ergodic theory. Volume 50 of Mathematical Surveys and Monographs. Providence RI: American Mathematical Society, 1997

2. Aaronson, J., Denker, M.: A local limit theorem for stationary processes in the domain of attraction of a normal distribution. In N. Balakrishnan, I.A. Ibragimov, V.B. Nevzorov, eds., Asymptotic methods in probability and statistics with applications. Papers from the international conference, St. Petersburg, Russia, 1998, Basel: Birkhäuser, 2001, pp. 215–224

3. Bunimovich, L.: On the ergodic properties of nowhere dispersing billiards. Commun. Math. Phys. 65, 295–312 (1979)

4. Baladi, V., Young, L.-S.: On the spectra of randomly perturbed expanding maps. Commun. Math. Phys. 156, 355–385 (1993)

5. Chernov, N.: Entropy, Lyapunov exponents and mean free path for billiards. J. Stat. Phys. 88, 1–29 (1997)

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