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arxiv: 1104.5185 · v1 · pith:QW2X33BOnew · submitted 2011-04-27 · 🧮 math.DS

A generalization of the line translation theorem

classification 🧮 math.DS
keywords linepropertytheoremtranslationbeguinbrickcasecrovisier
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Through the method of brick decomposition and the operations on essential topological lines, we generalize the line translation theorem of Beguin, Crovisier, Le Roux [BCL] in the case where the property of preserving a finite measure with total support is replaced by the intersection property.

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  1. Smooth Pseudo-Rotations Measure-Theoretically Isomorphic to Circle Rotations of Rationally Independent Angle

    math.DS 2026-04 unverdicted novelty 6.0

    On manifolds with smooth circle actions, there exist smooth volume-preserving diffeomorphisms metrically isomorphic to circle rotations of a different, possibly rationally independent angle.