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Probability and Combinatorics

Tuesday, April 9, 2024 - 3:30pm

Zhongyang Li

University of Connecticut


University of Pennsylvania


We investigate limit shapes and height fluctuations in statistical mechanical models, such as dimers and lecture hall tableaux, through the asymptotics of symmetric polynomials. Confirming a conjecture by Corteel, Keating, and Nicoletti, we show that the rescaled height functions' slopes in the scaling limit of lecture hall tableaux adhere to a complex Burgers equation.