117 citations · 923 across the 32 of their papers we have counts for
22 papers · 1 filter
Absolute area under a scaled Brownian motion with resetting
Vicenç Méndez, Javier Cristín
We investigate the statistical properties and ergodic behavior of the absolute area below the trajectory of a particle subject to stochastic resetting and moving according to a sca…
Infinite ergodic theory and functional statistics of non-confined Feller process
Vicenç Méndez
We study additive observables of a non-confined Feller process characterized by a non- normalizable stationary probability density and return times with infinite mean. The process…
Intermittent random walks under stochastic resetting
Rosa Flaquer-Galmés, Daniel Campos, Vicenç Méndez
We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive…
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…
Dynamic redundancy as a mechanism to optimize collective random searches
Daniel Campos, Vicenç Méndez
We explore the case of a group of random walkers looking for a target randomly located in space, such that the number of walkers is not constant but new ones can join the search, o…
Conditioned backward and forward times of diffusion with stochastic resetting: a renewal theory approach
Axel Masó-Puigdellosas, Daniel Campos, Vicenç Méndez
Stochastic resetting can be naturally understood as a renewal process governing the evolution of an underlying stochastic process. In this work, we formally derive well-known resul…
Non-standard diffusion under Markovian resetting in bounded domains
Vicenç Méndez, Axel Masó-Puigdellosas, Daniel Campos
We consider a walker moving in a one-dimensional interval with absorbing boundaries under the effect of Markovian resettings to the initial position. The walker's motion follows a…
Phase transition in non-Markovian animal exploration model with preferential returns
Ohad Vilk, Daniel Campos, Vicenç Méndez +3
We study a non-Markovian and nonstationary model of animal mobility incorporating both exploration and memory in the form of preferential returns. We derive exact results for the p…
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…
Transport properties of random walks under stochastic non-instantaneous resetting
Axel Masó-Puigdellosas, Daniel Campos, Vicenç Méndez
Random walks with stochastic resetting provides a treatable framework to study interesting features about central-place motion. In this work, we introduce non-instantaneous resetti…
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…
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…
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…
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…
Langevin dynamics for ramified structures
Vicenç Méndez, Alexander Iomin, Werner Horsthemke +1
We propose a generalized Langevin formalism to describe transport in combs and similar ramified structures. Our approach consists of a Langevin equation without drift for the motio…
Lévy processes on a generalized fractal comb
Trifce Sandev, Alexander Iomin, Vicenç Méndez
Comb geometry, constituted of a backbone and fingers, is one of the most simple paradigm of a two dimensional structure, where anomalous diffusion can be realized in the framework…
Proliferating Lévy Walkers and Front Propagation
Helena Stage, Sergei Fedotov, Vicenç Méndez
We develop non-linear integro-differential kinetic equations for proliferating Lévy walkers with birth and death processes. A hyperbolic scaling is applied directly to the general…
Phase transitions in optimal search times: how random walkers should combine resetting and flight scales
Daniel Campos, Vicenç Méndez
Recent works have explored the properties of Lévy flights with resetting in one-dimensional domains and have reported the existence of phase transitions in the phase space of param…
Mesoscopic description of random walks on combs
Vicenc Mendez, Alexander Iomin, Daniel Campos +1
Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study cont…
First-passage times in multi-scale random walks: the impact of movement scales on search efficiency
Daniel Campos, Frederic Bartumeus, E. P. Raposo +1
An efficient searcher needs to balance properly the tradeoff between the exploration of new spatial areas and the exploitation of nearby resources, an idea which is at the core of…
Comb-like models for transport along spiny dendrites
Vicenç Méndez, Alexander Iomin
We suggest a modification of a comb model to describe anomalous transport in spiny dendrites. Geometry of the comb structure consisting of a one-dimensional backbone and lateral br…
Anomalous reaction-transport processes: the dynamics beyond the Mass Action Law
Daniel Campos, Sergei Fedotov, Vicenç Méndez
In this paper we reconsider the Mass Action Law (MAL) for the anomalous reversible reaction with diffusion. We provide a mesoscopic description of this reacti…