L'eonie Papon

activity

20222026

collaborators

4 papers

math.PR2026

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 $+ 1$ and $- 1$ spins in the near-critical planar random field Ising model (RFIM) with Dobrushin boundary conditions has a scaling limit, whose…

math.PR2024

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field

Léonie Papon

We prove that the interface separating $+ 1$ and $- 1$ spins in the critical planar Ising model with Dobrushin boundary conditions perturbed by an external magnetic field has a scali…

math.PR2023

Massive SLE $_{4}$ , massive CLE $_{4}$ 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 $_{4}$ . This coupl…

math.PR2022

Thick points of the planar GFF are totally disconnected for all $γ \neq = 0$

Juhan Aru, Léonie Papon, Ellen Powell

We prove that the set of $γ$ -thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all $γ \neq = 0$ . Our proof relies…

Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field

Massive SLE4​, massive CLE4​ and the massive planar GFF

Thick points of the planar GFF are totally disconnected for all γ=0

Massive SLE $_{4}$ , massive CLE $_{4}$ and the massive planar GFF

Thick points of the planar GFF are totally disconnected for all $γ \neq = 0$