A large deviations bound for the Teichmuller flow

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 Teichmüller flow on the moduli space of abelian differentials, which extends earlier work of J. Athreya.

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

References in corpus (1)

• Connected components of the moduli spaces of Abelian differentials with prescribed singularities

Cited by in corpus (1)

• Large deviations for denominators of continued fractions