All Outputs (2)

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.