$${SL(2, \mathbb{R})}$$ S L ( 2 , R ) -invariant probability measures on the moduli spaces of translation surfaces are regular-Reference-Cited by-同舟云学术

$${SL(2, \mathbb{R})}$$ S L ( 2 , R ) -invariant probability measures on the moduli spaces of translation surfaces are regular

Published:2013-08-04 Issue:6 Volume:23 Page:1705-1729
ISSN:1016-443X
Container-title:Geometric and Functional Analysis
language:en
Short-container-title:Geom. Funct. Anal.

Author:

Avila Artur,Matheus Carlos,Yoccoz Jean-Christophe

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00039-013-0244-5.pdf

Reference24 articles.

1. Avila A., Viana M.: Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Acta Math., 198, 1–56 (2007)

2. Bouw I., Möller M.: Teichmüller curves, triangle groups, and Lyapunov exponents. Annals of Mathematics 172, 139–185 (2010)

3. V. Delecroix, P. Hubert and S. Lelièvre, Diffusion for the periodic wind-tree model, preprint, 2011, arXiv:1107.1810, to appear in Ann. Sci. Éc. Norm. Supér

4. Eskin A., Kontsevich M., Zorich A.: Lyapunov spectrum of square-tiled cyclic covers. Journal of Modern Dynamics 5, 319–353 (2011)

5. A. Eskin, M. Kontsevich and A. Zorich. Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow, preprint, 2011, arXiv:1112.5872

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Measure bound for translation surfaces with short saddle connections;Geometric and Functional Analysis;2023-04

2. Quasimodularity and large genus limits of Siegel-Veech constants;Journal of the American Mathematical Society;2018-04-30

3. The boundary of an affine invariant submanifold;Inventiones mathematicae;2017-02-22

4. Partial sums of excursions along random geodesics and volume asymptotics for thin parts of moduli spaces of quadratic differentials;Journal of the European Mathematical Society;2017

5. Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum;Ergodic Theory and Dynamical Systems;2016-07-04