20 citations · 83 across the 15 of their papers we have counts for
23 papers
Double cluster swapping for spin models: Pfaffian relations and sharpness
Diederik van Engelenburg, Lorca Heeney, Marcin Lis
We introduce and study a new geometric representation for general classical spin models. It consists of two coupled percolation configurations that are the joint FK (random cluster…
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…
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: we…
Zeros of planar Ising models via flat SU(2) connections
Marcin Lis
Livine and Bonzom recently proposed a geometric formula for a certain set of complex zeros of the partition function of the Ising model defined on planar graphs. Remarkably, the ze…
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…
On the duality between height functions and continuous spin models
Diederik van Engelenburg, Marcin Lis
We revisit the classical phenomenon of duality between random integer-valued height functions with positive definite potentials and abelian spin models with O(2) symmetry. We use i…