The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons

DOI10.1007/s11856-021-2148-7zbMath1482.37039OpenAlexW3165391350MaRDI QIDQ2048855

Paulo Varandas, Wescley Bonomo, Heides Lima

Publication date: 24 August 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-021-2148-7

zbMATH Keywords

torustopological entropyvolume-preserving homeomorphisms

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (5)

Rotational entropy -- a homotopy invariant for torus maps ⋮ Rotation sets and rotational entropy for random dynamical systems on the torus ⋮ Realization of rotation vectors for volume preserving homeomorphisms of the torus ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ Entropy spectrum of rotation classes

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