Gibbs states and equilibrium states for finitely presented dynamical systems

DOI10.1007/BF01020868zbMath0746.58024MaRDI QIDQ1182241

Viviane Baladi

Publication date: 28 June 1992

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsGibbs stateAxiom-A diffeomorphisms

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

The product structure of finitely presented dynamical systems ⋮ Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification ⋮ Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new examples of Gibbs measures
• Homeomorphisms with Markov partitions
• Noncommutative algebras for hyperbolic diffeomorphisms
• Sofic systems
• Currents, flows and diffeomorphisms
• Ergodic theory on compact spaces
• On Gibbs and equilibrium states
• Finitely presented dynamical systems
• Hyperbolic nonwandering sets without dense periodic points
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms