Please use this identifier to cite or link to this item:
|Title:||Oriented site percolation, phase transitions and probability bounds|
|Citation:||Journal of Inequalities in Pure and Applied Mathematics, 2005; 6(5):WWW 1-WWW 15|
|Publisher:||Victoria University of Technology, School of Communications and Informatics|
|Charles E. M. Pearce, F.K. Fletcher|
|Abstract:||We show that one half is a lower bound for the critical probability of an oriented site percolation process of Grimmett and Hiemer. This value improves the known lower bound of one third. We employ an Ansatz which we use also for a related oriented site percolation problem considered by Bishir. Monte Carlo simulation indicates a critical value of close to 0.535, so the bound appears to be fairly tight.|
|Keywords:||Oriented site percolation, Critical probability, Phase transition, Positive term power series.|
|Appears in Collections:||Applied Mathematics publications|
Aurora harvest 2
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.