4 papers
Quenched and Annealed CLTs for the one-periodic Aztec diamond in random environment
Panagiotis Zografos
We study the asymptotic behavior of random dimer coverings of the one-periodic Aztec diamond in random environment. We investigate quenched limit theorems for the height function a…
Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions
Alexey Bufetov, Leonid Petrov, Panagiotis Zografos
We study the asymptotic behavior of random domino tilings of the Aztec diamond of size in a random environment, where the environment is a one-periodic sequence of i.i.d. rando…
-deformed Perelomov-Popov measures and quantized free probability
Panagiotis Zografos
The asymptotic study of tuples of random non-increasing integers is crucial for probabilistic models coming from asymptotic representation theory and statistical physics. We study…
Asymptotics of Harish-Chandra transform and infinitesimal freeness
Alexey Bufetov, Panagiotis Zografos
In the last ten years a technique of Schur generating functions and Harish-Chandra transforms was developed for the study of the asymptotic behavior of discrete particle systems an…