Limit theorems for random walks with absorption
Probability
2019-11-27 v2
Abstract
We introduce a class of absorption mechanisms and study the behavior of real-valued centered random walks with finite variance that do not get absorbed. In particular, we prove persistence and scaling limit results, which, in many cases of interests, reduce the analysis of the considered situation to well understood classical persistence and scaling limit questions. Our results cover results in Kemperman (1961) and Vysotsky (2015) and can be applied for many more examples.
Cite
@article{arxiv.1811.11681,
title = {Limit theorems for random walks with absorption},
author = {Micha Buck},
journal= {arXiv preprint arXiv:1811.11681},
year = {2019}
}
Comments
21 pages