Cardinality of Rauzy classes

DOI10.5802/aif.2811zbMath1285.05007arXiv1106.0807OpenAlexW1581619164MaRDI QIDQ2445509

Vincent Delecroix

Publication date: 14 April 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0807

zbMATH Keywords

interval exchange transformationsRauzy classesindecomposable permutationsRauzy inductionirreducible permutations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Dynamical aspects of measure-preserving transformations (37A05) Symbolic dynamics (37B10)

Related Items (10)

A combinatorial approach to Rauzy-type dynamics. II: The labelling method and a second proof of the KZB classification theorem ⋮ A combinatorial proof of the Kontsevich-Zorich-Boissy classification of Rauzy classes ⋮ The automorphism group of Rauzy diagrams ⋮ Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy ⋮ A generalization of the self-dual induction to every interval exchange transformation ⋮ Labeled Rauzy classes and framed translation surfaces ⋮ The set of uniquely ergodic interval exchange transformations is path-connected ⋮ A transversal for horocycle flow on \(\mathcal{H}(\alpha)\) ⋮ Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs ⋮ Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards

Uses Software

• SageMath
• Sage-Combinat

Cites Work

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