The compound poisson distribution and return times in dynamical systems

45Citations
Citations of this article
11Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

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. © 2008 Springer-Verlag.

Cite

CITATION STYLE

APA

Haydn, N., & Vaienti, S. (2009). The compound poisson distribution and return times in dynamical systems. Probability Theory and Related Fields, 144(3–4), 517–542. https://doi.org/10.1007/s00440-008-0153-y

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free