Arcsine laws for Brownian motion with Poissonian resetting
Probability
2025-04-21 v1 Mathematical Physics
math.MP
Abstract
We analyze the equivalents of the celebrated arcsine laws for Brownian motion undergoing Poissonian resetting. We obtain closed-form formulae for the probability density functions of the corresponding random variables in the cases of the first and second arcsine law. Furthermore, we obtain numerical results for the third law.
Keywords
Cite
@article{arxiv.2502.03889,
title = {Arcsine laws for Brownian motion with Poissonian resetting},
author = {Kacper Taźbierski and Marcin Magdziarz},
journal= {arXiv preprint arXiv:2502.03889},
year = {2025}
}