Outputs (2)

GOE fluctuations for the maximum of the top path in alternating sign matrices (2023)
Journal Article
Ayyer, A., Chhita, S., & Johansson, K. (2023). GOE fluctuations for the maximum of the top path in alternating sign matrices. Duke Mathematical Journal, 172(10), 1961-2104. https://doi.org/10.1215/00127094-2022-0075

The six-vertex model is an important toy-model in statistical mechanics for two-dimensional ice with a natural parameter ∆. When ∆ = 0, the so-called free-fermion point, the model is in natural correspondence with domino tilings of the Aztec diamond.... Read More about GOE fluctuations for the maximum of the top path in alternating sign matrices.

On the domino shuffle and matrix refactorizations (2023)
Journal Article
Chhita, S., & Duits, M. (2023). On the domino shuffle and matrix refactorizations. Communications in Mathematical Physics, 401(2), 1417-1467. https://doi.org/10.1007/s00220-023-04676-y

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 simplest case of a doubly periodic weighting, that is, the two-periodic... Read More about On the domino shuffle and matrix refactorizations.