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20162026
most citedLectures on Integrable probability: Stochastic vertex models and symmetric functions

35 citations · 38 across the 8 of their papers we have counts for

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math.PR2025

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

Alisa Knizel, Leonid Petrov

We investigate the asymptotic behavior of the q-Racah probability measure on lozenge tilings of a hexagon whose side lengths scale linearly with a large parameter , while the pa…

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…