IMPROVED UPPER-BOUNDS FOR THE CRITICAL PROBABILITY OF ORIENTED PERCOLATION IN 2 DIMENSIONS

Citation
P. Balister et al., IMPROVED UPPER-BOUNDS FOR THE CRITICAL PROBABILITY OF ORIENTED PERCOLATION IN 2 DIMENSIONS, Random structures & algorithms, 5(4), 1994, pp. 573-589
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,Mathematics,"Computer Science Software Graphycs Programming
ISSN journal
10429832
Volume
5
Issue
4
Year of publication
1994
Pages
573 - 589
Database
ISI
SICI code
1042-9832(1994)5:4<573:IUFTCP>2.0.ZU;2-0
Abstract
We refine the method of our previous paper [2] which gave upper bounds for the critical probability in two-dimensional oriented percolation. We use our refinement to show that p(c) < 0.6735. (C) 1994 John Wiley & Sons, Inc.