108 citations · 628 across the 28 of their papers we have counts for
6 papers · 1 filter
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…
Random walks on networks with stochastic resetting
Alejandro P. Riascos, Denis Boyer, Paul Herringer +1
We study random walks with stochastic resetting to the initial position on arbitrary networks. We obtain the stationary probability distribution as well as the mean and global firs…
Aging in transport processes on networks with stochastic cumulative damage
A. P. Riascos, J. Wang-Michelitsch, T. M. Michelitsch
In this paper we explore the evolution of transport capacity on networks with stochastic incidence of damage and accumulation of faults in their connections. For each damaged confi…
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…
Random walks on weighted networks: Exploring local and non-local navigation strategies
A. P. Riascos, José L. Mateos
In this paper, we present an overview of different types of random walk strategies with local and non-local transitions on undirected connected networks. We present a general appro…