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 $L^{\frac{\alpha }{2}}$ where $L$ indicates a `simple' Laplacian matrix. We re…