60 citations · 60 across the 4 of their papers we have counts for
5 papers · 1 filter
Massive holomorphicity of near-critical dimers and sine-Gordon model
Nathanaël Berestycki, Scott Mason, Lucas Rey
In this paper, we consider the near-critical dimer model in the setup of isoradial superpositions with Temperleyan boundary conditions. We show that the centered height function co…
On loops in the complement to dimers
Alexander Glazman, Lucas Rey
We consider ergodic translation-invariant Gibbs measures for the dimer model (i.e. perfect matchings) on the hexagonal lattice. The complement to a dimer configuration is a fully-p…
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…
Can one condition a killed random walk to survive?
Lucas Rey, Augusto Teixeira
We consider the simple random walk on killed with probability at site for a function decaying at infinity. Due to recurrence in dimension , the…
The Doob transform and the tree behind the forest, with application to near-critical dimers
Lucas Rey
The Doob transform technique enables the study of a killed random walk (KRW) via a random walk (RW) with transition probabilities tilted by a discrete massive harmonic function. Th…