Extremal points of infinite clusters in stationary percolation
Ronald Meester
Statistics & Probability Letters, 1999, vol. 42, issue 4, 361-365
Abstract:
It is well known that in stationary percolation, an infinite component cannot have a finite number of extremal points in a certain direction. In this note, we investigate whether or not an infinite cluster can have infinitely many extremal points in a certain direction. To make this question all interesting, it is necessary (and natural) to simultaneously ask for an infinite path in the opposite direction. It turns out that the answer depends on the dimension of the model, and on the question whether or not the model has the so-called finite range.
Date: 1999
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00229-6
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:42:y:1999:i:4:p:361-365
Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01
Access Statistics for this article
Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul
More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().