38 citations
- Sorbonne UniversitéFR3 papers
- University of SheffieldGB3 papers
- KU LeuvenBE1 paper
- Massachusetts Institute of TechnologyUS1 paper
- Syracuse UniversityUS1 paper
- The University of TokyoJP1 paper
- UCLouvainBE1 paper
- Universidad Nacional Autónoma de MéxicoMX1 paper
- University of OxfordGB1 paper
- University of PotsdamDE1 paper
- University of StrathclydeGB1 paper
5 papers
Random walks with long-range steps generated by functions of Laplacian matrices
A. P. Riascos, T. M. Michelitsch, B. A. Collet +2
In this paper, we explore different Markovian random walk strategies on networks with transition probabilities between nodes defined in terms of functions of the Laplacian matrix.…
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…
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 random walk lattice dynamics
Thomas Michelitsch, Bernard Collet, Alejandro Perez Riascos +2
We analyze time-discrete and continuous `fractional' random walks on undirected regular networks with special focus on cubic periodic lattices in dimensions. The fract…
Constraint percolation on hyperbolic lattices
Jorge H. Lopez, J. M. Schwarz
Hyperbolic lattices interpolate between finite-dimensional lattices and Bethe lattices and are interesting in their own right with ordinary percolation exhibiting not one, but two,…