80 citations · 87 across the 7 of their papers we have counts for
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math.DS2005★ 1 cited
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…
math.DS2005★ 80 cited
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…