44 citations · 80 across the 13 of their papers we have counts for
16 papers
The Airy line ensemble at the rough-smooth boundary
Sunil Chhita, Duncan Dauvergne, Thomas Finn
We study the rough-smooth boundary in the two-periodic Aztec diamond, a random domino tiling model exhibiting three types of macroscopic regions. We show that the height function a…
On the domino shuffle and matrix refactorizations
Sunil Chhita, Maurice Duits
This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It is inspired by two of the three distinct methods that have recently been used in the s…
GOE fluctuations for the maximum of the top path in alternating sign matrices
Arvind Ayyer, Sunil Chhita, Kurt Johansson
The six-vertex model is an important toy-model in statistical mechanics for two-dimensional ice with a natural parameter . When , the so-called free-fermion point, the mod…
Correlations in totally symmetric self-complementary plane partitions
Arvind Ayyer, Sunil Chhita
Totally symmetric self-complementary plane partitions (TSSCPPs) are boxed plane partitions with the maximum possible symmetry. We use the well-known representation of TSSCPPs as a…
Local Geometry of the rough-smooth interface in the two-periodic Aztec diamond
Vincent Beffara, Sunil Chhita, Kurt Johansson
Random tilings of the two-periodic Aztec diamond contain three macroscopic regions: frozen, where the tilings are deterministic; rough, where the correlations between dominoes deca…
The domino shuffling algorithm and Anisotropic KPZ stochastic growth
Sunil Chhita, Fabio Lucio Toninelli
The domino-shuffling algorithm can be seen as a stochastic process describing the irreversible growth of a -dimensional discrete interface. Its stationary speed of growth $v…
A (2+1)-dimensional Anisotropic KPZ growth model with a smooth phase
Sunil Chhita, Fabio Lucio Toninelli
Stochastic growth processes in dimension were conjectured by D. Wolf, on the basis of renormalization-group arguments, to fall into two distinct universality classes, accor…
Speed and fluctuations for some driven dimer models
Sunil Chhita, Patrik L. Ferrari, Fabio Lucio Toninelli
We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth mo…
Airy point process at the liquid-gas boundary
Vincent Beffara, Sunil Chhita, Kurt Johansson
Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations…
A combinatorial identity for the speed of growth in an anisotropic KPZ model
Sunil Chhita, Patrik L. Ferrari
The speed of growth for a particular stochastic growth model introduced by Borodin and Ferrari in [Comm. Math. Phys. 325 (2014), 603-684], which belongs to the KPZ anisotropic univ…
Domino statistics of the two-periodic Aztec diamond
Sunil Chhita, Kurt Johansson
Random domino tilings of the Aztec diamond shape exhibit interesting features and some of the statistical properties seen in random matrix theory. As a statistical mechanical model…
Tacnode GUE-minor Processes and Double Aztec Diamonds
Mark Adler, Sunil Chhita, Kurt Johansson +1
We study random domino tilings of a Double Aztec diamond, a region consisting of two overlapping Aztec diamonds. The random tilings give rise to two discrete determinantal point pr…
Coupling Functions for Domino tilings of Aztec diamonds
Sunil Chhita, Benjamin Young
The inverse Kasteleyn matrix of a bipartite graph holds much information about the perfect matchings of the system such as local statistics which can be used to compute local and g…
Asymptotic domino statistics in the Aztec diamond
Sunil Chhita, Kurt Johansson, Benjamin Young
We study random domino tilings of the Aztec diamond with different weights for horizontal and vertical dominoes. A domino tiling of an Aztec diamond can also be described by a part…
The Height fluctuations of an off-critical dimer model on the square grid
Sunil Chhita
The dimer model on a planar bipartite graph can be viewed as a random surface measure. We study these fluctuations for a dimer model on the square grid with two different classes o…
Particle Systems arising from an anti-ferromagnetic Ising model
Sunil Chhita
We study a low temperature anisotropic anti-ferromagnetic 2D Ising model through the guise of a certain dimer model. This model has a bijection with a one-dimensional particle syst…