Year: 2022
Type: article
Abstract: We study the statistical properties of first-passage time functionals of a one dimensional Brownian motion in the presence of stochastic resetting. A first-passage functional is defined as V = ∫ 0 t f Z [ x ( τ ) ] where t f is the first-passage time of a reset Brownian process x ( τ ), i.e., the first time the process crosses zero. In here, the particle is reset to x R > 0 at a constant rate r starting from x 0 > 0 and we focus on the following functionals: (i) local time T l o c = ∫ 0 t f d τ δ ( x − x R ) , (ii) residence time T r e s = ∫ 0 t f d τ θ ( x − x R ) , and (iii) functionals of the form A n = ∫ 0 t f d τ [
Authors: Prashant Singh, Arnab Pal
Language: Latvian
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: green
Award: G942205078
OpenAlex ID: W4211266216