Work

Arcsine laws for Brownian motion with Poissonian resetting

Year: 2025

Type: article

Abstract: We analyze the equivalents of the celebrated arcsine laws for Brownian motion undergoing Poissonian resetting. We obtain closed-form formulas 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.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0253282

Authors: K. Taźbierski, M. Magdziarz

Institution: Wrocław University of Science and Technology

Language: English

Topic: Diffusion and Search Dynamics

Subfield: Molecular Biology

Field: Biochemistry, Genetics and Molecular Biology

Domain: Life Sciences

Open Access status: green

OpenAlex ID: W4407960023

FWCI: 0.254

Cites: 23

Cited by: 1

Related to: 10