Recurrence and Embeddings in Planar Wind-Tree Models

2024/02/05 by Frenkel, Chen
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.06986

Abstract

We study periodic infinite billiards in the plane. We show that for rational models, some particular obstacles can be added periodically, so that the billiard flow in the resulting table is recurrent in almost every direction.

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