Journal
PROBABILITY THEORY AND RELATED FIELDS
Volume 144, Issue 3-4, Pages 517-542Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00440-008-0153-y
Keywords
-
Categories
Funding
- NSF [DMS-0301910]
- Universite de Toulon et du Var, France
Ask authors/readers for more resources
Previously it has been shown that some classes of mixing dynamical systems have limiting return times distributions that are almost everywhere Poissonian. Here we study the behaviour of return times at periodic points and show that the limiting distribution is a compound Poissonian distribution. We also derive error terms for the convergence to the limiting distribution. We also prove a very general theorem that can be used to establish compound Poisson distributions in many other settings.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available