JSM 2015 Preliminary Program

Online Program Home
My Program

Abstract Details

Activity Number: 490
Type: Contributed
Date/Time: Wednesday, August 12, 2015 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract #316389 View Presentation
Title: An Improved Upper Bound for the Bond Percolation Threshold of the Cubic Lattice
Author(s): John Wierman*
Companies: The Johns Hopkins University
Keywords: cubic lattice ; bond percolation ; percolation threshold ; stochastic ordering
Abstract:

The bond percolation threshold of the cubic lattice is shown to be less than 0.447792 by applying the approach of Wierman and McCarthy (2015) based on the containment principle and substitution method, but employing a more efficient computational method. The bound is only a slight improvement of the their uppper bound of 0.452595, and the investigation suggests that substantial further improvements are unlikely using this approach.

Authors who are presenting talks have a * after their name.

Back to the full JSM 2015 program





For program information, contact the JSM Registration Department or phone (888) 231-3473.

For Professional Development information, contact the Education Department.

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

2015 JSM Online Program Home