Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms. I

DOI10.4007/annals.2007.165.89zbMath1132.37011OpenAlexW2100299994MaRDI QIDQ880882

Brian R. Hunt, Vadim Yu. Kaloshin

Publication date: 29 May 2007

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2007.165.89

zbMATH Keywords

growth rateperiodic pointscompact manifoldsmooth interval map

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Abundance of fast growth of the number of periodic points in two-dimensional area-preserving dynamics ⋮ Complexities of differentiable dynamical systems ⋮ Haar null and Haar meager sets: a survey and new results ⋮ A global perspective for non-conservative dynamics ⋮ On genericG-prevalent properties and a quantitative K-S theorem forC^rdiffeomorphisms of the circle ⋮ Dynamical profile of a class of rank-one attractors ⋮ Dold sequences, periodic points, and dynamics

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