Arcsine laws for Brownian motion with Poissonian resetting

Published 6 Feb 2025 in math.PR, math-ph, and math.MP | (2502.03889v1)

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.

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