An analogue of Bauer’s theorem for closed orbits of skew products

DOI10.1017/S0143385707000557zbMath1154.37325MaRDI QIDQ5387244

William Parry, Mark Pollicott

Publication date: 8 May 2008

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

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Primes (11A41)

Cites Work

• Unnamed Item
• Natural coefficients and invariants for Markov-shifts
• Riemannian coverings and isospectral manifolds
• A reciprocity law for prime geodesics
• On periodic points
• Skew Products of Shifts with a Compact Lie Group
• Symbolic Dynamics for Hyperbolic Flows
• A Chebotarev Theorem for finite homogeneous extensions of shifts
• Markov Partitions for Axiom A Diffeomorphisms
• Class numbers of indefinite binary quadratic forms

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