Singularity of Nearcritical Percolation Exploration Paths

ALEA, Lat. Am. J. Probab. Math. Stat. 11 (1), 229-252 (2014) 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 corolla...

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Bibliographic Details
Main Author Aumann, Simon
Format Journal Article
LanguageEnglish
Published 19.10.2011
Subjects
Mathematics - Probability
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Summary:ALEA, Lat. Am. J. Probab. Math. Stat. 11 (1), 229-252 (2014) 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.
DOI:10.48550/arxiv.1110.4203