4 papers
The Ising magnetisation field and the Gaussian free field
Tomás Alcalde López, Lorca Heeney, Marcin Lis
We construct a natural coupling between the continuum Gaussian free field (GFF) and the critical Ising magnetisation field (IMF) in a planar domain. In fact, we show that two indep…
Conformally invariant boundary arcs in double dimers
Marcin Lis, Lucas Rey, Kieran Ryan
We consider two different versions of the double dimer model on a planar domain, where we either fold a single dimer cover on a symmetric domain onto itself across the line of symm…
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…
Conformal invariance of double random currents I: identification of the limit
Hugo Duminil-Copin, Marcin Lis, Wei Qian
This is the first of two papers devoted to the proof of conformal invariance of the critical double random current model on the square lattice. More precisely, we show the converge…