29 citations · 82 across the 20 of their papers we have counts for
28 papers
Oriented Minimum spanning tree looks like the Uniform spanning tree on the complete graph (at least locally)
Swarnadeep Bagchi, Gourab Ray
We prove that the local limit of the minimum spanning arborescence in the complete graph (which is an oriented cousin of the minimum spanning tree in the complete graph) is the sam…
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…
Dimers on Riemann surfaces II: conformal invariance and scaling limit
Nathanaël Berestycki, Benoit Laslier, Gourab Ray
Given a bounded Riemann surface of finite topological type, we show the existence of a universal and conformally invariant scaling limit for the Temperleyan cycle-rooted spanni…
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…
Sharp Signal Detection Under Ferromagnetic Ising Models
Sohom Bhattacharya, Rajarshi Mukherjee, Gourab Ray
In this paper we study the effect of dependence on detecting a class of structured signals in Ferromagnetic Ising models. Natural examples of our class include Ising Models on latt…
Forests on wired regular trees
Gourab Ray, Ben Xiao
The Arboreal gas model on a finite graph is the Bernoulli bond percolation on conditioned on the event that the sampled subgraph is a forest. In this short note we study th…