Uniqueness of billiard coding in polygons

DOI10.1080/14689367.2021.1914553zbMath1482.37016arXiv1807.03606OpenAlexW3166234791MaRDI QIDQ5164193

Yunzhe Li

Publication date: 10 November 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03606

zbMATH Keywords

symbolic dynamicspolygonal billiards

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

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• Code and order in polygonal billiards
• The growth rate for the number of singular and periodic orbits for a polygonal billiard
• Local instability of orbits in polygonal and polyhedral billiards
• Homotopical rigidity of polygonal billiards
• Does a billiard orbit determine its (polygonal) table?

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