Interval exchange transformations and foliations on infinite genus 2-manifolds

DOI10.1017/S0143385704000069zbMath1059.37018OpenAlexW1984445827MaRDI QIDQ3159914

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Publication date: 1 February 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385704000069

zbMATH Keywords

2-manifolddense orbitssmooth foliationexceptional orbitsisometric generalized interval exchange transformationrecurrence orbits

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

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