80 citations · 87 across the 7 of their papers we have counts for
4 papers · 1 filter
Variations around Eagleson's Theorem on mixing limit theorems for dynamical systems
Sébastien Gouëzel
Eagleson's Theorem asserts that, given a probability-preserving map, ifrenormalized Birkhoff sums of a function converge in distribution, thenthey also converge with respect to any…
On almost-sure versions of classical limit theorems for dynamical systems
J-R Chazottes, S Gouezel
The purpose of this article is to construct a toolbox, in Dynamical Systems, to support the idea that ``whenever we can prove a limit theorem in the classical sense for a dynamical…
Exponential mixing for the Teichmuller flow
Artur Avila, Sebastien Gouezel, Jean-Christophe Yoccoz
We study the dynamics of the Teichmuller flow in the moduli space of Abelian differentials (and more generally, its restriction to any connected component of a stratum). We show th…
Limit theorems in the stadium billiard
Peter Balint, Sebastien Gouezel
We prove that the Birkhoff sums for ``almost every'' relevant observable in the stadium billiard obey a non-standard limit law. More precisely, the usual central limit theorem hold…