Large deviation asymptotics for Anosov flows

  • Simon Waddington

    SFB 170, Mathematisches Institut, Bunsenstr. 3-5, 37073 Göttingen, Germany

Abstract

We derive precise asymptotic formulae for large deviation probabilities for suspensions of subshifts of finite type. As a corollary, we give a stronger version of the Central Limit Theorem. We apply our results to transitive Anosov flows, giving a result describing fluctuations in the volume of Bowen balls and an asymptotic large deviation formula of a homological nature involving Schwartzmann’s winding cycle.

Cite this article

Simon Waddington, Large deviation asymptotics for Anosov flows. Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 4, pp. 445–484

DOI 10.1016/S0294-1449(16)30110-X