Please use this identifier to cite or link to this item: https://doi.org/10.1214/EJP.v18-2019
Title: Brownian web in the scaling limit of supercritical oriented percolation in dimension 1 + 1
Authors: Sarkar, A.
Sun, R. 
Keywords: Brownian web
Oriented percolation
Issue Date: 5-Feb-2013
Source: Sarkar, A., Sun, R. (2013-02-05). Brownian web in the scaling limit of supercritical oriented percolation in dimension 1 + 1. Electronic Journal of Probability 18 : -. ScholarBank@NUS Repository. https://doi.org/10.1214/EJP.v18-2019
Abstract: We prove that, after centering and diffusively rescaling space and time, the collection of rightmost infinite open paths in a supercritical oriented percolation configuration on the space-time lattice ℤ2 even:={(x,i) ∈ℤ2: x + i is even}converges in distribution to the Brownian web. This proves a conjecture of Wu and Zhang [26]. Our key observation is that each rightmost infinite open path can be approximated by a percolation exploration cluster, and different exploration clusters evolve independently before they intersect.
Source Title: Electronic Journal of Probability
URI: http://scholarbank.nus.edu.sg/handle/10635/102956
ISSN: 10836489
DOI: 10.1214/EJP.v18-2019
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

3
checked on Feb 15, 2018

WEB OF SCIENCETM
Citations

3
checked on Jan 29, 2018

Page view(s)

26
checked on Feb 19, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.