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Singularity of full scaling limits of planar nearcritical percolation

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  • Aumann, Simon

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.

Suggested Citation

  • Aumann, Simon, 2014. "Singularity of full scaling limits of planar nearcritical percolation," Stochastic Processes and their Applications, Elsevier, vol. 124(11), pages 3807-3818.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:11:p:3807-3818
    DOI: 10.1016/j.spa.2014.07.005
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