The joint distribution of value and local time of simple random walk and reflected simple random walk
Probability
2021-10-01 v1
Abstract
The joint distribution of value and local time for Brownian Motion has been reported by Borodin and Salminen. Its asymptotic behavior for recurrent random walk has been presented by Jain and Pruitt. Motivated by the need for queue size control during a pandemic (Hassin, Meilijson and Perlman), the current study presents closed form formulas for random walk and reflected random walk with increments, not necessarily fair.
Cite
@article{arxiv.2109.15076,
title = {The joint distribution of value and local time of simple random walk and reflected simple random walk},
author = {Isaac Meilijson and Yael Perlman},
journal= {arXiv preprint arXiv:2109.15076},
year = {2021}
}