Closed billiard trajectories with prescribed bounces

2021/08/25 by Chaubet, Yann
#37C30 #37C83 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.11340

Abstract

We give the asymptotic growth of the number of primitive periodic trajectories of a two dimensional dispersive billiard, when we prescribe their number of bounces on one of the obstacles.

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