On the location of poles of Ruelle's zeta-function

DOI10.1007/BF00420300zbMath0637.58012OpenAlexW2045888847MaRDI QIDQ1098461

Dieter H. Mayer

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00420300

zbMATH Keywords

zeta functionstatistical mechanicshyperbolic dynamical systemsone-dimensional lattice spin systems

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82B99) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99)

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Cites Work

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• On Ruelle's \(\xi\)-function for exponentially decreasing potentials
• The quantization of a classically ergodic system
• On the relaxation time of Gauss' continued-fraction map. I: The Hilbert space approach (Koopmanism)
• On composition operators on Banach spaces of holomorphic functions
• The Ruelle-Araki transfer operator in classical statistical mechanics
• Zeta-functions for expanding maps and Anosov flows
• On the \(\zeta\)-function of a one-dimensional classical system of hard- rods
• On periodic points
• Zeta-functions and transfer-operators for piecewise linear transformations.
• Generalized zeta-functions for Axiom 𝐴 basic sets
• On a $\zeta$ function related to the continued fraction transformation
• Axiom A Diffeomorphisms have Rational Zeta Functions
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms