25 citations · 31 across the 4 of their papers we have counts for
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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…
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…