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The size of a pond in 2D invasion percolation

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	The size of a pond in 2D invasion percolation
2.	Creator	Author's name, affiliation, country	Jacob van den Berg; CWI and Vrije Universiteit
2.	Creator	Author's name, affiliation, country	Antal A. Jarai; Carleton University
2.	Creator	Author's name, affiliation, country	Balint Vagvolgyi; Vrije Universiteit
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	invasion percolation; pond; critical percolation
3.	Subject	Subject classification	Primary: 60K35; Secondary: 82B43
4.	Description	Abstract	We consider invasion percolation on the square lattice. van den Berg, Peres, Sidoravicius and Vares have proved that the probability that the radius of a so-called pond is larger than n, differs at most a factor of order log n from the probability that in critical Bernoulli percolation the radius of an open cluster is larger than n. We show that these two probabilities are, in fact, of the same order. Moreover, we prove an analogous result for the volume of a pond.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	The Dutch BSIK/BRICKS project; NSERC of Canada
7.	Date	(YYYY-MM-DD)	2007-10-26
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1327
10.	Identifier	Digital Object Identifier	10.1214/ECP.v12-1327
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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