5 citations · 11 across the 5 of their papers we have counts for
6 papers · 1 filter
Double dimers on planar hyperbolic graphs via circle packings
Gourab Ray
In this article we study the double dimer model on hyperbolic Temperleyan graphs via circle packings. We prove that on such graphs, the weak limit of the dimer model exists if and…
Minimal spanning arborescence
Gourab Ray, Arnab Sen
We study the minimal spanning arborescence which is the directed analogue of the minimal spanning tree, with a particular focus on its infinite volume limit and its geometric prope…
Characterizations of amenability through stochastic domination and finitary codings
Gourab Ray, Yinon Spinka
We establish new characterizations of amenability of graphs through two probabilistic notions: stochastic domination and finitary codings (also called finitary factors). On the sto…
Uniform even subgraphs and graphical representations of Ising as factors of i.i.d
Omer Angel, Gourab Ray, Yinon Spinka
We prove that the Loop O(1) model, a well-known graphical expansion of the Ising model, is a factor of i.i.d. on unimodular random rooted graphs under various conditions, including…
A note on dimers and T-graphs
Nathanaël Berestycki, Benoit Laslier, Gourab Ray
The purpose of this note is to give a succinct summary of some basic properties of T-graphs which arise in the study of the dimer model. We focus in particular on the relation betw…
Classification of scaling limits of uniform quadrangulations with a boundary
Erich Baur, Grégory Miermont, Gourab Ray
We study non-compact scaling limits of uniform random planar quadrangulations with a boundary when their size tends to infinity. Depending on the asymptotic behavior of the boundar…