On the regularization of conservative maps

2008/10/08 by Artur Avila, Avila, Artur · 1 citation
Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0810.1533

openalex publication_date 2008/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that smooth maps are C¹-dense among C¹ volume preserving maps.

Citations

• Lyapunov exponents with multiplicity 1 for deterministic products of matrices

Cited by

• Smooth Models of Fibered Partially Hyperbolic Systems

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