Genericity of ergodicity for Sobolev homeomorphisms

2025/04/26 by Assis Azevedo, Davide Azevedo, Azevedo, Assis +5 · 1 citation
Mathematics · #Analytic and geometric function theory #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2504.18993

Abstract

In this paper we obtain a weak version of Lusin's theorem in the Sobolev-(1,p) uniform closure of volume preserving Lipschitz homeomorphisms on closed and connected d-dimensional manifolds, d ≥ 2 and 0

Cited by

• Limits of sequences of volume preserving homeomorphisms in W^1,p, for 0

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