Entropy and rotation sets: A toy model approach

DOI10.1142/S0219199715500832zbMath1359.37077MaRDI QIDQ3188186

Christian Wolf, Tamara Kucherenko

Publication date: 17 August 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational principlethermodynamic formalismtopological entropygeneralized rotation setsentropy maximizing measure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (6)

Ground states and zero-temperature measures at the boundary of rotation sets ⋮ Some aspects of rotation theory on compact abelian groups ⋮ 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 ⋮ Entropy spectrum of rotation classes

Cites Work

• New rotation sets in a family of torus homeomorphisms
• Geometric barycentres of invariant measures for circle maps
• A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps
• Rotation Sets for Maps of Tori
• Rotation sets and ergodic measures for torus homeomorphisms
• Some systems with unique equilibrium states
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