Random plane partitions and corner distributions
Yeliussizov D.
2021Centre Mersenne
Algebraic Combinatorics
2021#4Issue 4599 - 617 pp.
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.
Dual Grothendieck polynomials , Lozenge tilings , Random plane partitions
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Kazakh-British Technical University, Almaty, Kazakhstan
Kazakh-British Technical University
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