Random plane partitions and corner distributions

Yeliussizov, Damir

doi:10.5802/alco.171

Yeliussizov, Damir ¹

¹ Kazakh-British Technical University, Almaty, Kazakhstan

Algebraic Combinatorics, Volume 4 (2021) no. 4, pp. 599-617.

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.

Received: 2020-05-26
Revised: 2021-01-30
Accepted: 2021-03-03
Published online: 2021-09-02

DOI: 10.5802/alco.171

Classification: 60K35, 60C05, 05E05
Keywords: Random plane partitions, lozenge tilings, dual Grothendieck polynomials.

Author's affiliations:

Yeliussizov, Damir ¹

¹ Kazakh-British Technical University, Almaty, Kazakhstan

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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Yeliussizov, Damir. Random plane partitions and corner distributions. Algebraic Combinatorics, Volume 4 (2021) no. 4, pp. 599-617. doi : 10.5802/alco.171. https://alco.centre-mersenne.org/articles/10.5802/alco.171/

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