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Annealed and quenched limit theorems for random expanding dynamical systems
- Publication Year :
- 2013
-
Abstract
- In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit theorem, a large deviation principle, a local limit theorem, and an almost sure invariance principle. We also discuss the quenched central limit theorem, dynamical Borel-Cantelli lemmas, Erd\"os-R\'enyi laws and concentration inequalities.<br />Comment: Appeared online in Probability Theory and Related Fields
- Subjects :
- Mathematics - Dynamical Systems
37H99, 37A25, 37D20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1310.4359
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00440-014-0571-y