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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 − ex...

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Bibliographic Details
Main Author: Shang, Yilun
Format: Artigo
Language:Inglês
Published: Hindawi Publishing Corporation 2013
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC3830813/
https://ncbi.nlm.nih.gov/pubmed/24288461
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1155/2013/172393
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