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arXiv · 1709.04074

Infinite measure renewal theorem and related results

Dmitry Dolgopyat·Péter Nándori
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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.

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Dmitry Dolgopyat, Péter Nándori. 2017-09-12. Infinite measure renewal theorem and related results. https://doi.org/10.1112/blms.12217

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