31 citations · 432 across the 52 of their papers we have counts for
8 papers · 1 filter
Random walks with stochastic resetting in complex networks: a discrete time approach
Thomas M. Michelitsch, Giuseppe D'Onofrio, Federico Polito +1
We consider a discrete-time Markovian random walk with resets on a connected undirected network. The resets, in which the walker is relocated to randomly chosen nodes, are governed…
On discrete-time arrival processes and related random motions
Giuseppe D'Onofrio, Thomas M. Michelitsch, Federico Polito +1
We consider three kinds of discrete-time arrival processes: transient, intermediate and recurrent, characterized by a finite, possibly finite and infinite number of events, respect…
Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred this random walk to as squirrel random walk (SRW). The SRW is a d…
Squirrels can remember little: A random walk with jump reversals induced by a discrete-time renewal process
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We consider a class of discrete-time random walks with directed unit steps on the integer line. The direction of the steps is reversed at the time instants of events in a discrete-…
Asymmetric random walks with bias generated by discrete-time counting processes
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We introduce a new class of asymmetric random walks on the one-dimensional infinite lattice. In this walk the direction of the jumps (positive or negative) is determined by a discr…
Prabhakar discrete-time generalization of the time-fractional Poisson process and related random walks
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
In recent years a huge interdisciplinary field has emerged which is devoted to the complex dynamics of anomalous transport with long-time memory and non-markovian features. It was…