The gaps between the sizes of large clusters in 2D critical percolation

J. van den Berg; R.P. Conijn

doi:10.1214/ECP.v18-3065

The gaps between the sizes of large clusters in 2D critical percolation

J. van den Berg, R.P. Conijn

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Consider critical bond percolation on a large 2n × 2n box on the square lattice. It is well-known that the size (i.e. number of vertices) of the largest open cluster is, with high probability, of order n

Original language	English
Article number	92
Number of pages	9
Journal	Electronic Communications in Probability
Volume	18
Early online date	10 Dec 2013
DOIs	https://doi.org/10.1214/ECP.v18-3065
Publication status	Published - 2013

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title = "The gaps between the sizes of large clusters in 2D critical percolation",

abstract = "Consider critical bond percolation on a large 2n × 2n box on the square lattice. It is well-known that the size (i.e. number of vertices) of the largest open cluster is, with high probability, of order n",

author = "{van den Berg}, J. and R.P. Conijn",

year = "2013",

doi = "10.1214/ECP.v18-3065",

language = "English",

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journal = "Electronic Communications in Probability",

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AU - Conijn, R.P.

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DO - 10.1214/ECP.v18-3065

M3 - Article

SN - 1083-589X

VL - 18

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

M1 - 92

ER -

The gaps between the sizes of large clusters in 2D critical percolation

Abstract

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