25 citations · 31 across the 4 of their papers we have counts for
6 papers
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…
Geometry of the doubly periodic Aztec dimer model
Tomas Berggren, Alexei Borodin
The purpose of the present work is to provide a detailed asymptotic analysis of the doubly periodic Aztec diamond dimer model of growing size for any and a…
Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
In this work we study a sequence of perfect t-embeddings of uniformly weighted Aztec diamonds. We show that these perfect t-embeddings can be used to prove convergence of gradients…
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…
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…
Mesoscopic fluctuations for the thinned Circular Unitary Ensemble
Tomas Berggren, Maurice Duits
In this paper we study the asymptotic behavior of mesoscopic fluctuations for the thinned Circular Unitary Ensemble. The effect of thinning is that the eigenvalues start to decorre…