The quenched critical point for self-avoiding walk on random conductors
Probability
2016-05-04 v3 Mathematical Physics
math.MP
Abstract
Following similar analysis to that in Lacoin (PTRF 159, 777-808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on the d-dimensional integer lattice is almost surely a constant, which does not depend on the location of the reference point. We provide its upper and lower bounds that are valid for all dimensions.
Cite
@article{arxiv.1508.01262,
title = {The quenched critical point for self-avoiding walk on random conductors},
author = {Yuki Chino and Akira Sakai},
journal= {arXiv preprint arXiv:1508.01262},
year = {2016}
}
Comments
14 pages