Complexity lower bounds for polygonal billiards

DOI10.1063/1.166301zbMath0986.37030OpenAlexW2005967266WikidataQ52015480 ScholiaQ52015480MaRDI QIDQ4515059

Serge E. Troubetzkoy

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166301

zbMATH Keywords

complexitypolygonal billiardsexplicit quadratic lower bound

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Low-dimensional dynamical systems (37E99)

Related Items (4)

Complexity and growth for polygonal billiards ⋮ Homotopical rigidity of polygonal billiards ⋮ A concept of homeomorphic defect for defining mostly conjugate dynamical systems ⋮ You can hear the shape of a billiard table: symbolic dynamics and rigidity for flat surfaces

Cites Work

• The growth rate for the number of singular and periodic orbits for a polygonal billiard
• Local instability of orbits in polygonal and polyhedral billiards
• Complexity of trajectories in rectangular billiards
• Billiards in polygons

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