Geometry and entropy of generalized rotation sets

DOI10.1007/s11856-013-0053-4zbMath1358.37022arXiv1210.0135OpenAlexW2034268581MaRDI QIDQ2017141

Christian Wolf, Tamara Kucherenko

Publication date: 25 June 2014

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

Full work available at URL: https://arxiv.org/abs/1210.0135

zbMATH Keywords

entropyrotation set

Mathematics Subject Classification ID

Related Items (21)

Localized topological pressure for amenable group actions ⋮ Ground states and zero-temperature measures at the boundary of rotation sets ⋮ Pointwise rotation sets of dispersing billiards ⋮ Entropy, pressure and duality for Gibbs plans in ergodic transport ⋮ Localized topological pressure for random dynamical systems ⋮ Rotation sets and rotational entropy for random dynamical systems on the torus ⋮ Realization of rotation vectors for volume preserving homeomorphisms of the torus ⋮ Some aspects of rotation theory on compact abelian groups ⋮ Computability at zero temperature ⋮ On general rotation sets of open billiards ⋮ A horseshoe with a discontinuous entropy spectrum ⋮ A shift map with a discontinuous entropy function ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ On the computability of rotation sets and their entropies ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons ⋮ Localized pressure and equilibrium states ⋮ Generic rotation sets ⋮ Entropy spectrum of rotation classes ⋮ A topological classification of locally constant potentials via zero-temperature measures ⋮ Ergodic optimization in dynamical systems ⋮ Localized variational principle for non-Besicovitch metric spaces

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