Uniqueness and non-uniqueness in percolation theory.
Häggström, Olle, Jonasson, Johan (2006)
Probability Surveys [electronic only]
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Displaying similar documents to “Percolation on nonamenable products at the uniqueness threshold”
Uniqueness and non-uniqueness in percolation theory.
Dynamical Percolation
Olle Häggström, Yuval Peres, Jeffrey E. Steif (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Critical percolation on certain nonunimodular graphs.
Peres, Yuval, Pete, Gábor, Scolnicov, Ariel (2006)
The New York Journal of Mathematics [electronic only]
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Percolation beyond , many questions and a few answers.
Benjamini, Itai, Schramm, Oded (1996)
Electronic Communications in Probability [electronic only]
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On disagreement percolation and maximality of the critical value for iid percolation.
Jonasson, Johan (2001)
Electronic Journal of Probability [electronic only]
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Processes on unimodular random networks.
Aldous, David J., Lyons, Russell (2007)
Electronic Journal of Probability [electronic only]
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The triangle and the open triangle
Gady Kozma (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
A note on circuit graphs.
Cui, Qing (2010)
The Electronic Journal of Combinatorics [electronic only]
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Dynamical sensitivity of the infinite cluster in critical percolation
Yuval Peres, Oded Schramm, Jeffrey E. Steif (2009)
Annales de l'I.H.P. Probabilités et statistiques
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In dynamical percolation, the status of every bond is refreshed according to an independent Poisson clock. For graphs which do not percolate at criticality, the dynamical sensitivity of this property was analyzed extensively in the last decade. Here we focus on graphs which percolate at criticality, and investigate the dynamical sensitivity of the infinite cluster. We first give two examples of bounded degree graphs, one which percolates for all times at criticality and one which has...