An asymptotic analysis in thermodynamic formalism

DOI10.1007/S00605-010-0238-4zbMath1246.37039OpenAlexW2084277396MaRDI QIDQ652544

Haruyoshi Tanaka

Publication date: 14 December 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0238-4

zbMATH Keywords

thermodynamic formalismsymbolic dynamicsRuelle operatorasymptotic perturbation

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Perturbed finite-state Markov systems with holes and Perron complements of Ruelle operators ⋮ Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral properties of a class of generalized Ruelle operators
• Perturbation theory for linear operators.
• The pressure and higher correlations for an Anosov diffeomorphism
• Singular perturbation of symbolic dynamics via thermodynamic formalism
• Thermodynamic Formalism
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: An asymptotic analysis in thermodynamic formalism