23 citations
2 papers
cond-mat.stat-mech2017★ 19 cited
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…
cond-mat.stat-mech2016★ 23 cited
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…