Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Recurrence for random dynamical systems

Abstract : This paper is a first step in the study of the recurrence behavior in random dynamical systems and randomly perturbed dynamical systems. In particular we define a concept of quenched and annealed return times for systems generated by the composition of random maps. We moreover prove that for super-polynomially mixing systems, the random recurrence rate is equal to the local dimension of the stationary measure.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.univ-brest.fr/hal-00399185
Contributor : Jerome Rousseau Connect in order to contact the contributor
Submitted on : Thursday, June 25, 2009 - 5:45:38 PM
Last modification on : Tuesday, October 19, 2021 - 10:59:14 PM
Long-term archiving on: : Tuesday, June 15, 2010 - 6:51:34 PM

Files

MarieRousseau-RFRDS250609.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00399185, version 1
  • ARXIV : 0906.4847

Citation

Philippe Marie, Jerome Rousseau. Recurrence for random dynamical systems. 2009. ⟨hal-00399185v1⟩

Share

Metrics

Record views

9

Files downloads

71