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

Authors :
Rukhovich, Filipp
Publication Year :
2017

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.<br />Comment: 11 pages (in Russian language), 4 pictures

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Language :
Russian
Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1712.01130
Document Type :
Working Paper