The diameter of a long-range percolation cluster on generalized pre-Sierpinski carpet and regular tree

DOI10.1007/s10955-018-2181-zzbMath1448.82017OpenAlexW2898406213WikidataQ129077774 ScholiaQ129077774MaRDI QIDQ1730969

Jun Misumi

Publication date: 6 March 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-018-2181-z

zbMATH Keywords

regular treegraph diameterlong-range percolationfractal latticegeneralized pre-Sierpinski carpet

Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fractals (28A80)

Cites Work

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• Sharp asymptotic for the chemical distance in long‐range percolation

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