31 citations · 432 across the 52 of their papers we have counts for
8 papers · 1 filter
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…
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…
Continuous time random walk and diffusion with generalized fractional Poisson process
Thomas M. Michelitsch, Alejandro P. Riascos
A non-Markovian counting process, the `generalized fractional Poisson process' (GFPP) introduced by Cahoy and Polito in 2013 is analyzed. The GFPP contains two index parameters $0<…
Generalized fractional Poisson process and related stochastic dynamics
Thomas M. Michelitsch, Alejandro P. Riascos
We survey the 'generalized fractional Poisson process' (GFPP). The GFPP is a renewal process generalizing Laskin's fractional Poisson counting process and was first introduced by C…
On recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We analyze a random walk strategy on undirected regular networks involving power matrix functions of the type where indicates a `simple' Laplacian matrix. We re…