Arcsine laws for Brownian motion with Poissonian resetting
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.
Authors
- Kacper Taźbierski (ORCID: https://orcid.org/0000-0002-2925-6013)
- Marcin Magdziarz (ORCID: https://orcid.org/0000-0002-2239-7155)
Institutions
- Wrocław University of Science and Technology (PL)
Publication Details
- Journal
- Chaos An Interdisciplinary Journal of Nonlinear Science
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1063/5.0253282
- Citations
- 1
- Primary Topic
- Diffusion and Search Dynamics
- Type
- article
- Field-Weighted Citation Impact
- 0.81