Outputs (15)

Domino statistics of the two-periodic Aztec diamond (2016)
Journal Article
Chhita, S., & Johansson, K. (2016). Domino statistics of the two-periodic Aztec diamond. Advances in Mathematics, 294, 37-149. https://doi.org/10.1016/j.aim.2016.02.025

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 it can be thought of as a dimer model or as a certain random surface.... Read More about Domino statistics of the two-periodic Aztec diamond.

Asymptotic domino statistics in the Aztec diamond (2015)
Journal Article
Chhita, S., Johansson, K., & Young, B. (2015). Asymptotic domino statistics in the Aztec diamond. Annals of Applied Probability, 25(3), 1232-1278. https://doi.org/10.1214/14-aap1021

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 particle system which is a determinantal process. We give a relation betwe... Read More about Asymptotic domino statistics in the Aztec diamond.

Tacnode GUE-minor processes and double Aztec Diamonds (2014)
Journal Article
Adler, M., Chhita, S., Johansson, K., & van Moerbeke, P. (2014). Tacnode GUE-minor processes and double Aztec Diamonds. Probability Theory and Related Fields, 162(1), 275-325. https://doi.org/10.1007/s00440-014-0573-9

We study determinantal point processes arising in random domino tilings of a double Aztec diamond, a region consisting of two overlapping Aztec diamonds. At a turning point in a single Aztec diamond where the disordered region touches the boundary, t... Read More about Tacnode GUE-minor processes and double Aztec Diamonds.

Coupling functions for domino tilings of Aztec diamonds (2014)
Journal Article
Chhita, S., & Young, B. (2014). Coupling functions for domino tilings of Aztec diamonds. Advances in Mathematics, 259, 173-251. https://doi.org/10.1016/j.aim.2014.01.023

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 global asymptotics. In this paper, we consider three different weightin... Read More about Coupling functions for domino tilings of Aztec diamonds.

The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid (2012)
Journal Article
Chhita, S. (2012). The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid. Journal of Statistical Physics, 148(1), 67-88. https://doi.org/10.1007/s10955-012-0529-3

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 of weights and provide a condition for their equivalence. In the thermo... Read More about The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid.