Prudent Self-Avoiding Walks

We have produced extended series for prudent self-avoiding walks on the square lattice. These are subsets of self-avoiding walks. We conjecture the exact growth constant and critical exponent for the walks, and show that the (anisotropic) generating function is almost certainly not differentiably-fi...

Full description

Bibliographic Details
Main Authors: Anthony J. Guttmann, John C. Dethridge
Format: Article
Language:English
Published: MDPI AG 2008-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/10/3/309/