A condition that implies full homotopical complexity of orbits for surface homeomorphisms

DOI10.1017/etds.2019.62zbMath1456.37043arXiv1804.04505OpenAlexW2976762051WikidataQ127245781 ScholiaQ127245781MaRDI QIDQ5139068

Salvador Addas-Zanata, Bruno de Paula Jacoia

Publication date: 4 December 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04505

zbMATH Keywords

topological dynamicsrotation setslow-dimensional dynamicspseudo-Anosov mapsrotational horseshoes

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Rotation numbers and vectors (37E45)

Related Items (4)

Homotopically unbounded disks for generic surface diffeomorphisms ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2 ⋮ On the structure of rotation sets in hyperbolic surfaces ⋮ Mather's regions of instability for annulus diffeomorphisms

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