Almost all interval exchange transformations with flips are nonergodic
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Publication:3473853
DOI10.1017/S0143385700005150zbMath0697.58027MaRDI QIDQ3473853
Publication date: 1989
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Measure-preserving transformations (28D05) Topological dynamics (37B99) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18)
Related Items (19)
Specular sets ⋮ Minimality of interval exchange transformations with restrictions ⋮ A switched server system semiconjugate to a minimal interval exchange ⋮ Nonorientable recurrence of flows and interval exchange transformations ⋮ Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket ⋮ Dynamics of piecewise contractions of the interval ⋮ Dynamics and geometry of the Rauzy–Veech induction for quadratic differentials ⋮ Measured foliations on nonorientable surfaces ⋮ Uniform perfectness for interval exchange transformations with or without flips ⋮ The limit set of non-orientable mapping class groups ⋮ Minimal non uniquely ergodic IETs with flips ⋮ Return words of linear involutions and fundamental groups ⋮ Minimality and the Rauzy – Veech algorithm for interval exchange transformations with flips ⋮ Dynamics of non-classical interval exchanges ⋮ Exchange transformations reversing orientation ⋮ Parry’s topological transitivity and $f$-expansions ⋮ Minimal interval exchange transformations with flips ⋮ Affine interval exchange transformations with flips and wandering intervals ⋮ Symbolic dynamics of piecewise contractions
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