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arXiv · 1110.4203

Singularity of Nearcritical Percolation Exploration Paths

Simon Aumann
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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.

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Simon Aumann. 2014-04-09. Singularity of Nearcritical Percolation Exploration Paths. https://arxiv.org/abs/1110.4203

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