On convergence of random walks on moduli space
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Publication:2073244
DOI10.1215/00192082-9421088zbMath1487.32071arXiv2102.04083OpenAlexW3127883089MaRDI QIDQ2073244
Publication date: 1 February 2022
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04083
Sums of independent random variables; random walks (60G50) Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differentials on Riemann surfaces (30F30)
Cites Work
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- Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
- Stationary measures and invariant subsets of homogeneous spaces. III.
- Every flat surface is Birkhoff and Oseledets generic in almost every direction
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Exponential mixing for the Teichmüller flow
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Explicit Kazhdan constants for representations of semisimple and arithmetic groups
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Homogeneous projective factors for actions of semi-simple Lie groups
- Effective counting on translation surfaces
- Quantitative recurrence and large deviations for Teichmüller geodesic flow
- A Poisson formula for semi-simple Lie groups
- Random Walks on Reductive Groups
- Markov Chains and Stochastic Stability
- Limits of geodesic push-forwards of horocycle invariant measures
- Frontiers in Number Theory, Physics, and Geometry II
- Noncommuting Random Products
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