Equilibrium states with incomplete supports and periodic trajectories

DOI10.1007/BF02310956zbMath0880.58022MaRDI QIDQ1358468

Sergey V. Savchenko

Publication date: 14 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

periodic trajectoriesequilibrium statestopological Markov chainArtin-Mazur-Ruelle zeta function

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99)

Related Items

Measures of maximal entropy for suspension flows over the full shift ⋮ Special flows constructed from countable topological Markov chains

Cites Work

• Shift with orbit basis and realization of one dimensional maps
• Statistical mechanics of a one-dimensional lattice gas
• A variational characterization of one-dimensional countable state Gibbs random fields
• Generalized zeta-functions for Axiom 𝐴 basic sets
• Examples for the Nonuniqueness of the Equilibrium State
• The zeta-function and Gibbs measures
• Statistical mechanics on a compact set with $Z^\nu $ action satisfying expansiveness and specification
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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