Sharp thresholds and percolation in the plane
Copyright policy )Sharp thresholds and percolation in the plane
AbstractRecently, it was shown by Bollobás and Riordan Probab Theory Related Fields 136 (2006), 417–468 that the critical probability for random Voronoi percolation in the plane is 1/2. As a by‐product of the method, a short proof of the Harris–Kesten Theorem was given by Bollobás and Riordan Bull London Math Soc 38 (2006), 470–484. The aim of this paper is to show that the techniques used in these papers can be applied to many other planar percolation models, both to obtain short proofs of known results and to prove new ones. © 2006 Wiley Periodicals, Inc. Random Struct. Alg., 2006
- University of Oxford United Kingdom
- ETH Zurich Switzerland
- University of Cambridge United Kingdom
- University of Memphis United States
- University of California, Berkeley United States
60K35; 82B43, 60K35, 82B43, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Interacting random processes; statistical mechanics type models; percolation theory, Combinatorics (math.CO), Mathematics - Probability
60K35; 82B43, 60K35, 82B43, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Interacting random processes; statistical mechanics type models; percolation theory, Combinatorics (math.CO), Mathematics - Probability
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