Abstract
We present three results of Sebastien Gouezel's: the local limit theorem for random walks on hyperbolic groups, a multiplicative ergodic theorem for non-expansive mappings (joint work with Anders Karlsson), and the description of the essential spectrum of the Laplacian on \begin{document}$ SL(2,{\mathbb R}) $\end{document} orbits in the moduli space (joint work with Artur Avila).
Highlights
Sébastien Gouëzel was awarded the 2019 Brin prize for his groundbreaking and influential work on statistical properties of dynamical systems and random walks
I chose to concentrate on three other examples of groundbreaking and influential contributions from Sébastien Gouëzel
[11] Local limit theorems for symmetric random walks in Gromov hyperbolic groups, J
Summary
Sébastien Gouëzel was awarded the 2019 Brin prize for his groundbreaking and influential work on statistical properties of dynamical systems and random walks. Dima Dolgopyat presents in [7] the main thread of this work. I chose to concentrate on three other examples of groundbreaking and influential contributions from Sébastien Gouëzel. They are the topic of the following papers. 1. [11] Local limit theorems for symmetric random walks in Gromov hyperbolic groups, J. 2. [13] Subadditive and multiplicative ergodic theorems 3. [2] Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow We discuss these three results in the three sections of this paper
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