Singularity of Nearcritical Percolation Exploration Paths
Probability
2014-05-08 v3
Abstract
We show that the laws of scaling limits of nearcritical percolation exploration paths with different parameters are singular with respect to each other. This generalises a result of Nolin and Werner, using a similar technique. As a corollary, the singularity can even be detected from an infinitesimal initial segment. Moreover, nearcritical scaling limits of exploration paths are mutually singular under scaling maps.
Keywords
Cite
@article{arxiv.1110.4203,
title = {Singularity of Nearcritical Percolation Exploration Paths},
author = {Simon Aumann},
journal= {arXiv preprint arXiv:1110.4203},
year = {2014}
}
Comments
23 pages, 7 figures; an expository section added and minor changes