A large deviations bound for the Teichmuller flow

Details A large deviations bound for the Teichmuller flow A large deviations bound for the Teichmuller flow

2008-12-07

arxiv.org/abs/0812.1397v3

Ergodic Theory and Dynamical Systems, 31 (2011), pp 1043-1071

Mathematics

Dynamical Systems

1 figure, 35 pages; needed weaker condition on main theorem, proof adapted accordingly; statements of main theorems have been

Scientific paper

10.1017/S0143385710000349

Large deviation rates are obtained for suspension flows over symbolic
dynamical systems with a countable alphabet. The method is that of the first
author and follows that of L.-S. Young. A corollary of the main results is a
large deviation bound for the Teichm\"uller flow on the moduli space of abelian
differentials, which extends earlier work of J. Athreya.

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