Meromorphic extension of the zeta function for Axiom A flows

DOI10.1017/S0143385700005587zbMath0694.58035WikidataQ114654229 ScholiaQ114654229MaRDI QIDQ3469941

Nicolai T. A. Haydn

Publication date: 1990

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

zeta functionflowshyperbolicity

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (15)

Ruelle-Pollicott resonances for manifolds with hyperbolic cusps ⋮ Dynamical Zeta Functions for Maps of the Interval ⋮ Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions ⋮ The thermodynamic formalism for expanding maps ⋮ Zeta functions and transfer operators for piecewise monotone transformations ⋮ Gibbs' functionals on subshifts ⋮ R-torsion and zeta functions for analytic Anosov flows on 3-manifolds ⋮ On the essential spectrum of the transfer operator for expanding Markov maps ⋮ Spectral properties of a class of operators associated with conformal maps in two dimensions ⋮ Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps ⋮ Meromorphic extension of the zeta function for subshifts on countable sets ⋮ Homologie des géodésiques fermées sur des variétés hyperboliques avec bouts cuspidaux ⋮ On flow equivalence of one-sided topological Markov shifts ⋮ Dynamics and Zeta functions on conformally compact manifolds ⋮ An extension of the theory of Fredholm determinants

Cites Work

• Unnamed Item
• An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions
• Meromorphic extensions of generalised zeta functions
• Bowen's equidistribution theory and the Dirichlet density theorem
• Symbolic Dynamics for Hyperbolic Flows
• On the entropy of a flow
• Axiom A Diffeomorphisms have Rational Zeta Functions
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• The radius of the essential spectrum

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