60 citations · 60 across the 7 of their papers we have counts for
4 papers · 1 filter
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…