323 citations · 1.3k across the 23 of their papers we have counts for
23 papers
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…
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…
Random Multi-Hopper Model. Super-Fast Random Walks on Graphs
Ernesto Estrada, Jean-Charles Delvenne, Naomichi Hatano +4
We develop a model for a random walker with long-range hops on general graphs. This random multi-hopper jumps from a node to any other node in the graph with a probability that dec…
Fractional dynamics on networks: Emergence of anomalous diffusion and Lévy flights
A. P. Riascos, José L. Mateos
We introduce a formalism of fractional diffusion on networks based on a fractional Laplacian matrix that can be constructed directly from the eigenvalues and eigenvectors of the La…
Dynamical analysis of an optical rocking ratchet: Theory and experiment
Alejandro V. Arzola, Karen Volke-Sepúlveda, José L. Mateos
A thorough analysis of the dynamics in a deterministic optical rocking ratchet (introduced in A. V. Arzola et al., Phys. Rev. Lett. 106, 168104 (2011)) and a comparison with experi…
Long-Range Navigation on Complex Networks using Lévy Random Walks
A. P. Riascos, José L. Mateos
We introduce a strategy of navigation in undirected networks, including regular, random, and complex networks, that is inspired by Lévy random walks, generalizing previous navigati…