11 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model
Fenglin Huang, Léonie Papon, Aoteng Xia
We prove that the interface separating and spins in the near-critical planar random field Ising model (RFIM) with Dobrushin boundary conditions has a scaling limit, whose…
Interface scaling limit for the critical planar Ising model perturbed by a magnetic field
Léonie Papon
We prove that the interface separating and spins in the critical planar Ising model with Dobrushin boundary conditions perturbed by an external magnetic field has a scali…
Massive SLE, massive CLE and the massive planar GFF
Léonie Papon
We construct a coupling between a massive GFF and a random curve in which the curve can be interpreted as the level line of the field and has the law of massive SLE. This coupl…
Massive SLE and the scaling limit of the massive harmonic explorer
Léonie Papon
The massive harmonic explorer is a model of random discrete path on the hexagonal lattice that was proposed by Makarov and Smirnov as a massive perturbation of the harmonic explore…
Thick points of the planar GFF are totally disconnected for all
Juhan Aru, Léonie Papon, Ellen Powell
We prove that the set of -thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all . Our proof relies…