9 papers
Level lines of the Gaussian free field and degenerate conformal blocks
Alex Karrila, Eveliina Peltola, Lukas Schoug
We consider Gaussian free field (GFF) on simply connected domains with piecewise constant Dirichlet boundary data. We show that the crossing probabilities for its level lines are d…
Complex deformations of the circle: Group cohomology and Virasoro uniformization
Sid Maibach, Eveliina Peltola
We approach the question of complexification of the diffeomorphism group of the circle by considering real-analytic maps from the circle into the punctured complex plane with windi…
Multiple SLEs for : Coulomb gas integrals and pure partition functions
Yu Feng, Mingchang Liu, Eveliina Peltola +1
In this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE partitio…
Irregular SLE(4) martingales and isomonodromic deformations
Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola
We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the si…
Uniform spanning trees and random matrix statistics
Nathanaël Berestycki, Marcin Lis, Mingchang Liu +1
We consider a uniform spanning tree in a -square grid approximation of a planar domain . For given integer , we condition the tree on the following -arm event: w…
Multiradial SLE with spiral: resampling property and boundary perturbation
Chongzhi Huang, Eveliina Peltola, Hao Wu
We consider multiple radial Schramm-Loewner evolution (SLE) curves with various time parameterizations and possible spiraling behavior. We construct them by tilting independent rad…