L'eonie Papon

collaborators

3 papers

math.PR2026

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

Fenglin Huang, LÃ©onie 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

LÃ©onie 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.PR2024

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

LÃ©onie 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…

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

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