@article{EJP2019,
author = {Anish Sarkar and Rongfeng Sun},
title = {Brownian web in the scaling limit of supercritical oriented percolation in dimension 1 + 1},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
keywords = {Brownian web;oriented percolation},
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 Z^2_{even}:={(x,i) in Z^2: x+i is even} converges in distribution to the Brownian web. This proves a conjecture of Wu and Zhang. 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.},
pages = {no. 21, 1-23},
issn = {1083-6489},
doi = {10.1214/EJP.v18-2019},
url = {http://ejp.ejpecp.org/article/view/2019}}