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November 2000 Mixed percolation as a bridge between site and bond percolation
Lincoln Chayes, Roberto H. Schonmann
Ann. Appl. Probab. 10(4): 1182-1196 (November 2000). DOI: 10.1214/aoap/1019487612

Abstract

By using mixed percolation as a bridge between site and bond percolation, we derive a new inequality between the critical points of these processes that is optimal in a certain sense.We also extend a result on the crossover exponent of bond-diluted Potts models to site-diluted Potts models. Some newresults about the critical line in mixed percolation are also proved.

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Lincoln Chayes. Roberto H. Schonmann. "Mixed percolation as a bridge between site and bond percolation." Ann. Appl. Probab. 10 (4) 1182 - 1196, November 2000. https://doi.org/10.1214/aoap/1019487612

Information

Published: November 2000
First available in Project Euclid: 22 April 2002

zbMATH: 1073.60539
MathSciNet: MR1810870
Digital Object Identifier: 10.1214/aoap/1019487612

Subjects:
Primary: 60K35
Secondary: 82A05

Keywords: critical points and lines , crossover exponent , differential inequalities , diluted Ising model , diluted Potts model , percolation

Rights: Copyright © 2000 Institute of Mathematical Statistics

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Vol.10 • No. 4 • November 2000
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