Expanding maps, shrinking targets and hitting times

DOI10.1088/0951-7715/25/9/2443zbMath1256.37022OpenAlexW2060628610MaRDI QIDQ2918657

María V. Melián, Domingo Pestana, José Lúis Fernandez Perez

Publication date: 10 October 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/9/2443

zbMATH Keywords

Diophantine approximationhitting timesexpanding mapsshrinking targetsBorel-Cantelli type results

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (11)

A central limit theorem for inner functions ⋮ Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs ⋮ A shrinking target theorem for ergodic transformations of the unit interval ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ SHRINKING TARGET PROBLEM FOR RANDOM IFS ⋮ Parabolicity on graphs ⋮ Targets, local weak $\sigma$ -Gibbs measures and a generalized Bowen dimension formula ⋮ Isoperimetric inequalities in Riemann surfaces and graphs ⋮ A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs ⋮ Quasi-isometries and isoperimetric inequalities in planar domains ⋮ Searching for targets of nonuniform size using mixing transformations: constructive upper bounds and limit laws

This page was built for publication: Expanding maps, shrinking targets and hitting times