3 papers
math-ph2024
Crystallization of the Aztec diamond
Tomas Berggren, Alexei Borodin
We consider dimer models on growing Aztec diamonds, which are certain domains in the square lattice, with edge weights of the form , where is a doubl…
math.PR2019
Domino tilings of the Aztec diamond with doubly periodic weightings
Tomas Berggren
In this paper we consider domino tilings of the Aztec diamond with doubly periodic weightings. In particular a family of models which, for any , includes models…
math.PR2019
Correlation functions for determinantal processes defined by infinite block Toeplitz minors
T. Berggren, M. Duits
We study the correlation functions for determinantal point processes defined by products of infinite minors of block Toeplitz matrices. The motivation for studying such processes c…