Geodesic
Large Deviations and the Rate of Convergence in the Birkhoff Ergodic Theorem
Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 569-577.

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For bounded averaged functions, we prove the equivalence of the power-law and exponential rates of convergence in the Birkhoff individual ergodic theorem with the same asymptotics of the probability of large deviations in this theorem.
Keywords: pointwise ergodic theorem, rates of convergence in ergodic theorems, large deviations, Anosov systems.
Mots-clés : billiards 
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A. G. Kachurovskii; I. V. Podvigin. Large Deviations and the Rate of Convergence in the Birkhoff Ergodic Theorem. Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 569-577. http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a6/

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