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math.PR2026
Dimer models on astroidal zig-zag graphs
Tomas Berggren, Alexei Borodin, Terrence George
On a finite weighted graph, the dimer model is a probability measure on its dimer covers, that assigns to any cover a probability proportional to the product of the weights of its…
math.PR2026
Marked GUE-corners process in doubly periodic dimer models
Tomas Berggren, Nedialko Bradinoff
We study a family of periodically weighted Aztec diamond dimer models near their turning points. We establish that, asymptotically, as , their fluctuations ther…