3 papers
math.PR2025
Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?")
Matthis Lehmkuehler, Wei Qian, Wendelin Werner
The critical two-dimensional Brownian loop-soup is an infinite collection of non-interacting Brownian loops in a planar domain that possesses some combinatorial features related to…
math.PR2025
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.PR2024
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 …