An upper bound on topological entropy of the Bunimovich stadium billiard map

DOI10.1007/s10955-023-03142-2zbMath1530.37050arXiv2203.15344MaRDI QIDQ6081427

Jernej Činč, Serge E. Troubetzkoy

Publication date: 5 October 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15344

zbMATH Keywords

topological entropyBunimovich stadium billiard

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Unnamed Item
• Topological entropy and periodic points of two-dimensional hyperbolic billiards
• On topological entropy of billiard tables with small inner scatterers
• Topological pressure and the variational principle for noncompact sets
• On the ergodic properties of nowhere dispersing billiards
• On ergodic properties of certain billiards
• Complexity and special factors
• Entropy, Lyapunov exponents, and mean free path for billiards
• Complexity and growth for polygonal billiards
• On the Lambert \(w\) function
• Ergodicity of billiards in polygons with pockets
• Instability and entropy for a class of dispersing billiards
• Topological entropy of semi-dispersing billiards
• Generating partitions for two-dimensional hyperbolic maps
• Topological entropy of Bunimovich stadium billiards
• Topological Entropy for Noncompact Sets
• On the measure of maximal entropy for finite horizon Sinai Billiard maps
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces