Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices

DOI10.1088/1751-8121/aa9008zbMath1394.82009arXiv1707.05843OpenAlexW3100747234MaRDI QIDQ4602763

Alejandro P. Riascos, Andrzej F. Nowakowski, Thomas M. Michelitsch, Bernard A. Collet, Franck C. G. A. Nicolleau

Publication date: 1 February 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05843

zbMATH Keywords

Kemeny constantLévy flightrecurrence theoremfractional random walkfirst passage probabilitiesmean first passage times (MFPT)Polya walk

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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