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math.PR2022★ 2 cited
The fuzzy Potts model in the plane: Scaling limits and arm exponents
Laurin Köhler-Schindler, Matthis Lehmkuehler
We consider a critical Fortuin-Kasteleyn (FK) percolation with cluster weight in the plane, and color its clusters in red (respectively blue) with probability $r \in…
math.PR2022★ 1 cited
Liouville quantum gravity weighted by conformal loop ensemble nesting statistics
Nina Holden, Matthis Lehmkuehler
We study Liouville quantum gravity (LQG) surfaces whose law has been reweighted according to nesting statistics for a conformal loop ensemble (CLE) relative to …