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cond-mat.stat-mech2015★ 2 cited
First-passage-time statistics of a Brownian particle driven by an arbitrary unidimensional potential with a superimposed exponential time-dependent drift
Eugenio Urdapilleta
In one-dimensional systems, the dynamics of a Brownian particle are governed by the force derived from a potential as well as by diffusion properties. In this work, we obtain the f…
cond-mat.stat-mech2012★ 11 cited
Series solution to the first-passage-time problem of a Brownian motion with an exponential time-dependent drift
Eugenio Urdapilleta
We derive the first-passage-time statistics of a Brownian motion driven by an exponential time-dependent drift up to a threshold. This process corresponds to the signal integration…
cond-mat.stat-mech2011★ 19 cited
Survival probability and first-passage-time statistics of a Wiener process driven by an exponential time-dependent drift
Eugenio Urdapilleta
The survival probability and the first-passage-time statistics are important quantities in different fields. The Wiener process is the simplest stochastic processwith continuous va…