Existence and Uniqueness of the Measure of Maximal Entropy for the Teichmueller Flow on the Moduli Space of Abelian Differentials

Abstract

We show that the smooth measure is the unique measure of maximal entropy for the Teichmueller flow on the moduli space of abelian differentials.

45 pages, revised version, results and proofs unchanged, exposition streamlined, introduction expanded.

References in corpus (1)

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