Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow

Author:

Eskin Alex,Kontsevich Maxim,Zorich Anton

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference93 articles.

1. J. Athreya, A. Eskin, and A. Zorich, Right-angled billiards and volumes of moduli spaces of quadratic differentials on ${ \mathbf{C}}\!\operatorname {P}^{1}$ , pp. 1–55, arXiv:1212.1660 , 2012.

2. D. Aulicino, Teichmüller discs with completely degenerate Kontsevich-Zorich spectrum, arXiv:1205.2359 , 2012.

3. D. Aulicino, Affine invariant submanifolds with completely degenerate Kontsevich-Zorich spectrum, arXiv:1302.0913 , 2013.

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

5. A. Avila, C. Matheus Santos, and J.-C. Yoccoz, SL-invariant probability measures on the moduli spaces of translation surfaces are regular, Geom. Funct. Anal. (2013), doi: 10.1007/s00039-013-0244-5 , arXiv:1302.4091 .

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