Three problems solved by Sébastien Gouëzel

François Ledrappier

doi:10.3934/jmd.2020015

Article Contents

2020, Volume 16: 373-387. Doi: 10.3934/jmd.2020015 open access

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Three problems solved by Sébastien Gouëzel (Brin Prize article)

François Ledrappier

Sorbonne Université and CNRS, UMR 8001, LPSM, Case courrier 158, 4 Place Jussieu, F-75252, Paris Cedex 05, France

Published: December 2020

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Abstract

We present three results of Sébastien Gouëzel'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 $ SL(2,{\mathbb R}) $ orbits in the moduli space (joint work with Artur Avila).

Keywords:

Limit theorems,
spectral gap.

Mathematics Subject Classification: Primary:37D40;37A17;Secondary:37A25;37A30;37A50.

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