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4 papers · 2 filters
The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
Pascal Hubert, Samuel Lelievre, Serge Troubetzkoy
We study periodic wind-tree models, unbounded planar billiards with periodically located rectangular obstacles. For a class of rational parameters we show the existence of complete…
Outer billiard outside regular polygons
Nicolas Bedaride, Julien Cassaigne
We consider outer billiard outside regular convex polygons. We deal with the case of regular polygons with sides, and we describe the symbolic dynamics of the map…
Volume entropy for surface groups via Bowen-Series like maps
Jérôme Los
We define a Bowen-Series like map for every geometric presentation of a co-compact surface group and we prove that the volume entropy of the presentation is the topological entropy…
Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions
Ernest Fontich, Rafael de la Llave, Yannick Sire
We present theorems which provide the existence of invariant whiskered tori in finite-dimensional exact symplectic maps and flows. The method is based on the study of a functional…