Almost all $S$-integer dynamical systems have many periodic points

DOI10.1017/S0143385798113378zbMath0915.58081OpenAlexW2009241117MaRDI QIDQ4236248

Thomas B. Ward

Publication date: 5 July 1999

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

Full work available at URL: https://doi.org/10.1017/s0143385798113378

zbMATH Keywords

radius of convergenceisometric extensionsdynamical zeta function(quasi-)hyperbolic dynamical systemsergodic \(S\)-integer dynamical system

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems with hyperbolic behavior (37D99)

Related Items (5)

Orbit-counting in non-hyperbolic dynamical systems ⋮ Uniform periodic point growth in entropy rank one ⋮ Dirichlet series for finite combinatorial rank dynamics ⋮ Synchronization points and associated dynamical invariants ⋮ Dold sequences, periodic points, and dynamics

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