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Singularity of full scaling limits of planar nearcritical percolation
Authors:Simon Aumann
Affiliation:Mathematisches Institut, Ludwig–Maximilians-Universität München, Theresienstr. 39, D-80333 München, Germany
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:60K35   82B43   60G30   82B27
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