activity
20172020
most citedContinuous-time random walks with reset events: Historical background and new perspectives

67 citations · 130 across the 3 of their papers we have counts for

collaborators

6 papers

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

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

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

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…

math-ph2017★ 67 cited

Continuous-time random walks with reset events: Historical background and new perspectives

Miquel Montero, Axel Masó-Puigdellosas, Javier Villarroel

In this paper, we consider a stochastic process that may experience random reset events which relocate the system to its starting position. We focus our attention on a one-dimensio…