Infinite entropy is generic in Hölder and Sobolev spaces

DOI10.1016/j.crma.2017.10.016zbMath1382.37015OpenAlexW2767471930MaRDI QIDQ1681557

Peter Hazard, Charles Tresser, Edson de Faria

Publication date: 23 November 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.10.016

zbMATH Keywords

topological entropySobolev mappingHölder mappingLipshitz endomorphism

Mathematics Subject Classification ID

Entropy in general topology (54C70) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (7)

Genericity of trivial Lyapunov spectrum for \(L^p\)-cocycles derived from second order linear homogeneous differential equations ⋮ Generalized Whitney topologies are Baire ⋮ On Slow Growth and Entropy-Type Invariants ⋮ Sobolev homeomorphisms are dense in volume preserving automorphisms ⋮ Genericity of infinite entropy for maps with low regularity ⋮ Stretching generic Pesin's entropy formula ⋮ The closing lemma and the planar general density theorem for Sobolev maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on the topological entropy of homeomorphisms
• The topological Rohlin property and topological entropy

This page was built for publication: Infinite entropy is generic in Hölder and Sobolev spaces