Singularity of full scaling limits of planar nearcritical percolation

Simon Aumann

Stochastic Processes and their Applications, 2014, vol. 124, issue 11, 3807-3818

Abstract: We consider full scaling limits of planar nearcritical percolation in the Quad-Crossing-Topology introduced by Schramm and Smirnov. We show that two nearcritical scaling limits with different parameters are singular with respect to each other. The results hold for percolation models on rather general lattices, including bond percolation on the square lattice and site percolation on the triangular lattice.

Keywords: Nearcritical; Percolation; Full scaling limit; Singular (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:124:y:2014:i:11:p:3807-3818

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DOI: 10.1016/j.spa.2014.07.005

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