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Area under subdiffusive random walks
Vicenç Méndez, Rosa Flaquer-Galmés, Javier Cristín
We study the statistical properties of the area and the absolute area under the trajectories of subdiffusive random walks. Using different frameworks to describe subdiffusion (as t…
Ergodic properties of occupation times in heterogeneous media
Vicenç Méndez, Rosa Flaquer-Galmés
We investigate the ergodic properties of Brownian motion in heterogeneous media through the statistics of occupation times. Using the Feynman-Kac formalism, we derive analytical ex…
Occupation time statistics for non-Markovian random walks
Vicenç Méndez, Rosa Flaquer-Galmés, Arnab Pal
We study the occupation time statistics for non-Markovian random walkers based on the formalism of the generalized master equation for the Continuous-Time Random Walk. We also expl…
First-passage time of a Brownian searcher with stochastic resetting to random positions
Vicenç Mendez, Rosa Flaquer-Galmés, Daniel Campos
We study the effect of a resetting point randomly distributed around the origin on the mean first passage time of a Brownian searcher moving in one dimension. We compare the search…