4 papers
Area under subdiffusive random walks
Vicenç Méndez, Rosa Flaquer-Galmés, Javier CristÃn
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…
A Magnetic-like Model for Chemotactic Navigation in Ants
Rosa Flaquer-Galmés, Daniel Campos, Javier CristÃn
We propose a physical framework for ant navigation of chemical trails. For this, we use controlled experiments in which individuals follow narrow pheromone trails, for which ants d…
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…