Infinite measure renewal theorem and related results
Dynamical Systems
2018-11-21 v1
Abstract
We present abstract conditions under which a special flow over a probability preserving map with a non-integrable roof function is Krickeberg mixing. Our main condition is some version of the local central limit theorem for the underlying map. We check our assumptions for iid random variables (renewal theorem with infinite mean) and for suspensions over Pomeau-Manneville maps.
Keywords
Cite
@article{arxiv.1709.04074,
title = {Infinite measure renewal theorem and related results},
author = {Dmitry Dolgopyat and Péter Nándori},
journal= {arXiv preprint arXiv:1709.04074},
year = {2018}
}