92 citations · 93 across the 2 of their papers we have counts for
12 papers
Diffusive transport on networks with stochastic resetting to multiple nodes
Fernanda H. González, Alejandro P. Riascos, Denis Boyer
We study the diffusive transport of Markovian random walks on arbitrary networks with stochastic resetting to multiple nodes. We deduce analytical expressions for the stationary oc…
Random walks on networks with preferential cumulative damage: Generation of bias and aging
L. K. Eraso-Hernandez, A. P. Riascos, T. M. Michelitsch +1
In this paper, we explore the reduction of functionality in a complex system as a consequence of cumulative random damage and imperfect reparation, a phenomenon modeled as a dynami…
A markovian random walk model of epidemic spreading
Michael Bestehorn, Alejandro P. Riascos, Thomas M. Michelitsch +1
We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently t…
Mean encounter times for multiple random walkers on networks
Alejandro P. Riascos, David P. Sanders
We introduce a general approach for the study of the collective dynamics of non-interacting random walkers on connected networks. We analyze the movement of independent (Markov…
Nonlocal biased random walks and fractional transport on directed networks
A. P. Riascos, T. M. Michelitsch, A. Pizarro-Medina
In this paper, we study nonlocal random walk strategies generated with the fractional Laplacian matrix of directed networks. We present a general approach to analyzing these strate…
Generalized space-time fractional dynamics in networks and lattices
Thomas M. Michelitsch, Alejandro Perez Riascos, Bernard Collet +2
We analyze generalized space-time fractional motions on undirected networks and lattices. The continuous-time random walk (CTRW) approach of Montroll and Weiss is employed to subor…