Outer billiards outside regular octagon: set of full measure and an aperiodic point

2017/12/04 by Rukhovich, Filipp
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.01130

Abstract

In this paper, outer billiards outside regular octagon are studied in details. We described all periodic points and their periods; also, we proved that the periodic points form a set of full measure outside the octagon and found an aperiodic point.

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