Roy, Rahul (1990) The Russo-Seymour-Welsh theorem and the equality of critical densities and the "Dual" critical densities for continuum percolation on R2 The Annals of Probability, 18 (4). pp. 1563-1575. ISSN 0091-1798
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Related URL: http://dx.doi.org/10.1214/aop/1176990632
Abstract
A Russo-Seymour-Welsh (RSW) theorem is established for continuum percolation on R2. The equality of various definitions of critical densities for the continuum percolation on R2 is deduced as an application of the RSW theorem. It is also shown that various notions of the size of a cluster yield the same notion of critical density.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematical Statistics. |
| Keywords: | Poisson Process; Continuum Percolation; Critical Densities; FKG Inequality; RSW Theorem |
| ID Code: | 72290 |
| Deposited On: | 29 Nov 2011 11:23 |
| Last Modified: | 29 Nov 2011 11:23 |
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