Exchange transformations reversing orientation

DOI10.1134/S106456240804008XzbMath1218.37012OpenAlexW2086700561MaRDI QIDQ542207

Yong-Cai Geng, Sumit K. Garg

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456240804008x

zbMATH Keywords

dynamical systemexchange transformationergodic interval

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Smooth nonorientable nontrivial recurrence on two-manifolds
• Nonorientable recurrence of flows and interval exchange transformations
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• A 'minimal', non-uniquely ergodic interval exchange transformation
• Non-ergodic interval exchange transformations
• Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
• Échanges d'intervalles et transformations induites
• On Peixoto’s conjecture for flows on non-orientable 2-manifolds
• Almost all interval exchange transformations with flips are nonergodic

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