Phase Transition in Long-Range Percolation on Bipartite Hierarchical Lattices

We propose a family of bipartite hierarchical lattice of order N governed by a pair of parameters ℓ and γ. We study long-range percolation on the bipartite hierarchical lattice where any edge (running between vertices of unlike bipartition sets) of length k is present with probability p k = 1 − exp(...

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Bibliographic Details
Main Author: Shang, Yilun
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3830813/