14 citations · 84 across the 24 of their papers we have counts for
5 papers · 1 filter
Diffusion rate in non-generic directions in the wind-tree model
Sylvain Crovisier, Pascal Hubert, Erwan Lanneau +1
We show that any real number in [0,1) is a diffusion rate for the wind-tree model with rational parameters. We will also provide a criterion in order to describe the shape of the L…
Algebraic intersection in regular polygons
Julien Boulanger, Erwan Lanneau, Daniel Massart
We study the function $$\mbox{KVol} : (X,ω)\mapsto \mbox{Vol} (X,ω) \sup_{α,β} \frac{\mbox{Int} (α,β)}{l_g (α) l_g (β)}$$ defined on the moduli spaces of translation surfaces. More…
Cohomological equations for linear involutions
Erwan Lanneau, Stefano Marmi, Alexandra Skripchenko
In the current note we extend results by Marmi, Moussa and Yoccoz about cohomological equations for interval exchange transformations to irreducible linear involutions.
Ruelle spectrum of linear pseudo-Anosov maps
Frédéric Faure, Sébastien Gouëzel, Erwan Lanneau
The Ruelle resonances of a dynamical system are spectral data describing the precise asymptotics of correlations. We classify them completely for a class of chaotic two-dimensional…
Finiteness of Teichmüller curves in non-arithmetic rank 1 orbit closures
Erwan Lanneau, Duc-Manh Nguyen, Alex Wright
We show that in any non-arithmetic rank 1 orbit closure of translation surfaces, there are only finitely many Teichmüller curves. We also show that in any non-arithmetic rank 1 orb…