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• W3216494024 abstract "We study the asymptotic distribution, as the volume parameter goes to 1, of the peak (largest part) of finite- or slowly-growing-width cylindric plane partitions weighted by their trace, seam, and volume. There are two natural asymptotic regimes depending on the trace/seam parameters, and in both cases we obtain asymptotics governed by finite temperature (periodic) analogues of the Bessel and Airy gap probabilities from random matrix theory. In particular, the distributions we obtain interpolate emph{in more than one way} between two well-known extremal value distributions: the Gumbel distribution of maxima of iid random variables and the Tracy--Widom distribution of maxima of eigenvalues of random Hermitian matrices. We also interpret our results in terms of last passage percolation on a cylinder, which yields to interesting connections to the Kardar--Parisi--Zhang equation." @default.
• W3216494024 created "2021-12-06" @default.
• W3216494024 creator A5064507653 @default.
• W3216494024 creator A5064876614 @default.
• W3216494024 date "2021-11-30" @default.
• W3216494024 modified "2023-09-26" @default.
• W3216494024 title "Peaks of cylindric plane partitions" @default.
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• W3216494024 doi "https://doi.org/10.48550/arxiv.2111.15538" @default.
• W3216494024 hasPublicationYear "2021" @default.
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