Exponential mixing for the Teichmüller flow
Publications Mathématiques de l'IHÉS, Tome 104 (2006), pp. 143-211
We study the dynamics of the Teichmüller flow in the moduli space of abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Hölder observables. A geometric consequence is that the action in the moduli space has a spectral gap.
@article{PMIHES_2006__104__143_0,
author = {Avila, Artur and Gou\"ezel, S\'ebastien and Yoccoz, Jean-Christophe},
title = {Exponential mixing for the {Teichm\"uller} flow},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {143--211},
year = {2006},
publisher = {Springer},
volume = {104},
doi = {10.1007/s10240-006-0001-5},
mrnumber = {2264836},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-006-0001-5/}
}
TY - JOUR AU - Avila, Artur AU - Gouëzel, Sébastien AU - Yoccoz, Jean-Christophe TI - Exponential mixing for the Teichmüller flow JO - Publications Mathématiques de l'IHÉS PY - 2006 SP - 143 EP - 211 VL - 104 PB - Springer UR - http://geodesic.mathdoc.fr/articles/10.1007/s10240-006-0001-5/ DO - 10.1007/s10240-006-0001-5 LA - en ID - PMIHES_2006__104__143_0 ER -
%0 Journal Article %A Avila, Artur %A Gouëzel, Sébastien %A Yoccoz, Jean-Christophe %T Exponential mixing for the Teichmüller flow %J Publications Mathématiques de l'IHÉS %D 2006 %P 143-211 %V 104 %I Springer %U http://geodesic.mathdoc.fr/articles/10.1007/s10240-006-0001-5/ %R 10.1007/s10240-006-0001-5 %G en %F PMIHES_2006__104__143_0
Avila, Artur; Gouëzel, Sébastien; Yoccoz, Jean-Christophe. Exponential mixing for the Teichmüller flow. Publications Mathématiques de l'IHÉS, Tome 104 (2006), pp. 143-211. doi: 10.1007/s10240-006-0001-5
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