| Publication type: |
 |
Article in peer-reviewed journal |
|
| Subject: |
|
Mathematics/Probability
|
|
| Title: |
|
Exponential mixing for the Teichmuller flow |
|
| Author(s): |
|
Artur Avila 1, 2, Sébastien Gouëzel ( ) 3, Jean-Christophe Yoccoz 4 |
|
| Laboratory: |
|
|
|
| Abstract: |
|
We study the dynamics of the Teichmuller 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 Holder observables. A geometric consequence is that the SL(2, R) action in the moduli space has a spectral gap. |
|
| Fulltext language: |
|
English |
|
|
| Journal: |
|
Publications mathematiques de l' IHES |
|
| Audience: |
|
international |
|
| Publication date: |
|
2006 |
|
| Issue: |
|
104 |
|
| Page, identifiant, ...: |
|
143-211 |
|
|
| Keyword(s): |
|
INTERVAL EXCHANGE TRANSFORMATIONS – ABELIAN DIFFERENTIALS – GEODESIC-FLOW – SPACE – DECAY – SURFACES – THEOREM – MAPS |
|
| Classification: |
|
37D40 |
|
|
Export this paper
