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20172020
most citedTransport properties and first arrival statistics of random searches with stochastic reset times

81 citations · 294 across the 6 of their papers we have counts for

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cond-mat.stat-mech2020★ 37 cited

Continuous time random walks under Markovian resetting

Vicenç Méndez, Axel Masó-Puigdellosas, Trifce Sandev +1

We investigate the effects of markovian resseting events on continuous time random walks where the waiting times and the jump lengths are random variables distributed according to…

cond-mat.stat-mech2019★ 26 cited

Anomalous diffusion in random-walks with memory-induced relocations

Axel Masó-Puigdellosas, Daniel Campos, Vicenç Méndez

In this minireview we present the main results regarding the transport properties of stochastic movement with relocations to known positions. To do so, we formulate the problem in…

cond-mat.stat-mech2018★ 51 cited

Stochastic processes subject to a reset-and-residence mechanism: transport properties and first arrival statistics

Axel Masó-Puigdellosas, Daniel Campos, Vicenç Méndez

In this work we consider a stochastic movement process with random resets to the origin followed by a random residence time there before the walker restarts its motion. First, we s…

cond-mat.stat-mech2018★ 81 cited

Transport properties and first arrival statistics of random searches with stochastic reset times

Axel Masó-Puigdellosas, Daniel Campos, Vicenç Méndez

Stochastic resets have lately emerged as a mechanism able to generate finite equilibrium mean square displacement (MSD) when they are applied to diffusive motion. Furthermore, walk…

cond-mat.stat-mech2018★ 32 cited

Demographic stochasticity and extinction in populations with Allee effect

Vicenç Méndez, Michael Assaf, Axel Masó-Puigdellosas +2

We study simple stochastic scenarios, based on birth-and-death Markovian processes, that describe populations with Allee effect, to account for the role of demographic stochasticit…