Geodesic
Existence and uniqueness of the measure of maximal entropy for the Teichm\"uller flow on the moduli space of Abelian differentials
Sbornik. Mathematics, Tome 202 (2011) no. 7, pp. 935-970

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The main result of the paper is the statement that the ‘smooth’ measure of Masur and Veech is the unique measure of maximal entropy for the Teichmüller flow on the moduli space of Abelian differentials. The proof is based on the symbolic representation of the flow in Veech's space of zippered rectangles. Bibliography: 29 titles.
Keywords: Rauzy induction, symbolic dynamics, Markov shift, suspension flow.
Mots-clés : moduli space 
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A. I. Bufetov; B. M. Gurevich. Existence and uniqueness of the measure of maximal entropy for the Teichm\"uller flow on the moduli space of Abelian differentials. Sbornik. Mathematics, Tome 202 (2011) no. 7, pp. 935-970. http://geodesic.mathdoc.fr/item/SM_2011_202_7_a0/