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

Alexander I. Bufetov, Boris M. Gurevich

Published 2007-03-01, updated 2010-05-13Version 3

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

Comments: 45 pages, revised version, results and proofs unchanged, exposition streamlined, introduction expanded.
Journal: Russian Mathematical Surveys. 2010. 65(6). pp. 181-182
Categories: math.DS, math.PR
Subjects: 37A25
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