2 papers
math.PR2026
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…
math.PR2026
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…