A large deviations bound for the Teichmuller flow
Dynamical Systems
2011-08-19 v3
Abstract
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.
Keywords
Cite
@article{arxiv.0812.1397,
title = {A large deviations bound for the Teichmuller flow},
author = {V. Araujo and A. Bufetov},
journal= {arXiv preprint arXiv:0812.1397},
year = {2011}
}
Comments
1 figure, 35 pages; needed weaker condition on main theorem, proof adapted accordingly; statements of main theorems have been rewritten for clarity; introduction has been completely rewritten