Smoothness is not an obstruction to realizability

DOI10.1017/S0143385707000715zbMath1143.37007OpenAlexW1997079825MaRDI QIDQ3509966

A. J. Windsor

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1017/s0143385707000715

zbMATH Keywords

periodic pointsrealizable sequences

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Universality and renormalization of dynamical systems (37E20) Sequences and sets (11B99)

Related Items (6)

Orbit Dirichlet series and multiset permutations ⋮ Closed orbits in quotient systems ⋮ Integer sequences and dynamics ⋮ Time-changes preserving zeta functions ⋮ Dold sequences, periodic points, and dynamics ⋮ Stirling numbers and periodic points

Cites Work

• A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I
• A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II

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