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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 2, Pages 309–320
DOI: https://doi.org/10.4213/tmf6281 (Mi tmf6281) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behaviors for percolation clusters with uncorrelated weights

Hsu Chunghao, Han Dong

Department of Mathematics, Shanghai Jiao Tong University
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DOI: https://doi.org/10.4213/tmf6281
Abstract: We consider random processes occurring on bond percolation clusters and represented as a generalization of the “divide and color model” introduced by Häggström in 2001. We investigate the asymptotic behaviors for bond percolation clusters with uncorrelated weights. For subcritical and supercritical phases, we prove the law of large numbers and central limit theorems in the models corresponding to the so-called quenched and annealed probabilities.
Keywords: percolation cluster, law of large numbers, central limit theorem.
Received: 13.11.2007
Revised: 01.02.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 2, Pages 1626–1635
DOI: https://doi.org/10.1007/s11232-008-0134-4
Bibliographic databases:
Language: Russian
Citation: Hsu Chunghao, Han Dong, “Asymptotic behaviors for percolation clusters with uncorrelated weights”, TMF, 157:2 (2008), 309–320; Theoret. and Math. Phys., 157:2 (2008), 1626–1635
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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