Convergence of dynamical zeta functions

DOI10.1007/BF01026559zbMath0713.58045OpenAlexW1979034158MaRDI QIDQ749970

Erik Aurell

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01026559

zbMATH Keywords

zeta functionsthermodynamic formalism in dynamical systems

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99)

Related Items (4)

Unnamed Item ⋮ Accelerating cycle expansions by dynamical conjugacy ⋮ The convergence of chaotic integrals ⋮ Entropy of hidden Markov processes via cycle expansion

Cites Work

• Some characterizations of strange sets
• Measuring the strangeness of strange attractors
• Meromorphic extensions of generalised zeta functions
• Zeta-functions for expanding maps and Anosov flows
• Presentation functions, fixed points, and a theory of scaling function dynamics.
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Escape from strange repellers
• Resonances for intermittent systems
• Markov Partitions for Axiom A Diffeomorphisms

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