Complexité de suites définies par des billards rationnels

DOI10.24033/bsmf.2259zbMath0836.58013OpenAlexW2473317022MaRDI QIDQ4849117

Pascal Hubert

Publication date: 19 October 1995

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1995__123_2_257_0

zbMATH Keywords

complexitytrajectoryconvex rational billiard

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Low-dimensional dynamical systems (37E99)

Related Items (8)

Complexity and growth for polygonal billiards ⋮ Billiard complexity in the hypercube ⋮ Classification of rotations on the torus \(\mathbb T^2\) ⋮ Combinatorial properties of sequences defined by the billiard in the tesselation triangles ⋮ You can hear the shape of a billiard table: symbolic dynamics and rigidity for flat surfaces ⋮ Directional complexity of the hypercubic billiard ⋮ Combinatorics on patterns of a bidimensional Sturmian sequence ⋮ Fine and Wilf's theorem for three periods and a generalization of Sturmian words

Cites Work

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• The growth rate for the number of singular and periodic orbits for a polygonal billiard
• Ergodicity of billiard flows and quadratic differentials
• Arithmetical properties of a certain power series
• Topological transitivity of billiards in polygons
• Représentation géométrique de suites de complexité $2n+1$
• Complexity of sequences defined by billiard in the cube
• Symbolic Dynamics II. Sturmian Trajectories
• Billiards in polygons

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