Billiards in regular polygons
Year: 2025
Type: article
Abstract: In this paper we study billiards in regular n -sided polygons and monodromy over Teichmüller curves from an arithmetic perspective. Our main results show that the combinatorics of billiards in a periodic direction s is controlled by the projection of s to a finite projective line.This arithmetic control coexists, experimentally, with chaotic behavior that first emerges when n=12 .
Source: L’Enseignement Mathématique
DOI: 10.4171/lem/1099
Author: Curtis T. McMullen
Institution: Harvard University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414475780
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