Rates of convergence in the CLT for two-dimensional dispersive billiards

Communications in Mathematical Physics

Volumn 225, Issue 1, 2002, Pages 91-119

  Pène, Françoise ^a  

^a UNIVERSITÉ DE BRETAGNE OCCIDENTALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342417628     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002201000573     Document Type: Article

References (14)

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7. Jan, C.: Vitesse de convergence dans le TCL pour des processus associés à des systÈmes dynamiques et aux produits de matrices aléatoires. Ph. D. thesis, University of Rennes 1, France, 2001
8. Jan, C.: Rates of convergence for some processes under mixing conditions and application to random matrix products. Preprint, 2001
9. Katok, A., Strelcyn, J.-M, Ledrappier, F. and Przytycki, F.: Invariant manifolds, entropy and billiards: smooth maps with singularities. Lect. Notes in Math. 122.Berlin-Heidelberg-New York: Springer, 1986
10. Pène, F.: Applications des propriétés stochastiques des systèmes dynamiques de type hyperbolique: ergodicité du billard dispersif dans le plan, moyennisation d'équations différentielles perturbées par un flot ergodique. Ph. D. thesis, University of Rennes I, France, 2000
11. Pène, F.: Averaging method for differential equations perturbed by dynamical systems. Preprint, 2001
12. Serfling, R.J.: Moment inequalities for the maximum cumulative sum. Ann. Math. Stat. 41, 1227-1234 (1970)
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14. Young, L.-S.: Statistical properties of dynamical systems with some hyperbolicity. Ann. of Math. 147, 585-650 (1998)