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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2009
- DOI:
- 10.48550/arXiv.0906.4847
- arXiv:
- arXiv:0906.4847
- Bibcode:
- 2009arXiv0906.4847M
- Keywords:
-
- Mathematics - Dynamical Systems;
- 37H (Primary);
- 37C45;
- 37B20;
- 37A25 (Secondary)