Random plane partitions and corner distributions

2019/10/29 by Yeliussizov, Damir · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1910.13378

Abstract

We explore some probabilistic applications arising in connections with K-theoretic symmetric functions. For instance, we determine certain corner distributions of random lozenge tilings and plane partitions. We also introduce some distributions that are naturally related to the corner growth model. Our main tools are dual symmetric Grothendieck polynomials and normalized Schur functions.

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• Flagged Hamel--Goulden formulas
• Inhomogeneous q-Whittaker Polynomials I: Duality and Expansions

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