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Singularity of Full Scaling Limits of Planar Nearcritical Percolation

Probability 2014-08-25 v2

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

Cite

@article{arxiv.1301.5175,
  title  = {Singularity of Full Scaling Limits of Planar Nearcritical Percolation},
  author = {Simon Aumann},
  journal= {arXiv preprint arXiv:1301.5175},
  year   = {2014}
}

Comments

12 pages, minor changes