48 citations · 52 across the 8 of their papers we have counts for
8 papers
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…
Ergodic properties of Brownian motion under stochastic resetting
Eli Barkai, Rosa Flaquer-Galmes, Vicenç Méndez
We study ergodic properties of one-dimensional Brownian motion with resetting. Using generic classes of statistics of times between resets, we find respectively for thin/fat tailed…
Stochastic resetting on comb-like structures
Viktor Domazetoski, Axel Masó-Puigdellosas, Trifce Sandev +3
We study a diffusion process on a three-dimensional comb under stochastic resetting. We consider three different types of resetting: global resetting from any point in the comb to…
Optimal management of impaired self-avoiding random walks for minimizing spatial coverage
Daniel Campos, Javier Cristín, Vicenç Méndez
Self-avoidance is a common mechanism to improve the efficiency of a random walker for covering a spatial domain. However, how this efficiency decreases when self-avoidance is impai…
Two-particle quantum correlations in stochastically-coupled networks
Roberto de J. León-Montiel, Vicenç Méndez, Mario A. Quiroz-Juárez +4
Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. In this work, we introduce a novel approach t…
Comb models for transport along spiny dendrites
V. Méndez, A. Iomin
This chapter is a contribution in the "Handbook of Applications of Chaos Theory" ed. by Prof. Christos H Skiadas. The chapter is organized as follows. First we study the statistica…