108 citations · 628 across the 28 of their papers we have counts for
6 papers · 1 filter
Optimal exploration of random walks with local bias on networks
Christopher Sebastian Hidalgo Calva, Alejandro P. Riascos
We propose local-biased random walks on general networks where a Markovian walker can choose between different types of biases in each node to define transitions to its neighbors d…
A simple model of epidemic dynamics with memory effects
Michael Bestehorn, Thomas M. Michelitsch, Bernard A. Collet +2
We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible ($…
Evolution of transport under cumulative damage in metro systems
L. K. Eraso-Hernandez, A. P. Riascos, T. M. Michelitsch +1
One dominant aspect of cities is transport and massive passenger mobilization which remains a challenge with the increasing demand on the public as cities grow. In addition, public…
Discrete-time random walks and Lévy flights on arbitrary networks: when resetting becomes advantageous?
Alejandro P. Riascos, Denis Boyer, José L. Mateos
The spectral theory of random walks on networks of arbitrary topology can be readily extended to study random walks and Lévy flights subject to resetting on these structures. When…
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…
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…