3 papers
math.PR2025
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…
math.PR2024
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…
math.PR2024
Local central limit theorem for Mallows measure
Alexey Bufetov, Kailun Chen
We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. W…