Phase transitions from \(\exp( n^{1/2})\) to \(\exp(n^{2/3})\) in the asymptotics of banded plane partitions

DOI10.1016/j.jcta.2020.105363zbMath1458.05023arXiv2004.08901OpenAlexW3102495687MaRDI QIDQ2221838

Hsien-Kuei Hwang, Mihyun Kang, Wenjie Fang

Publication date: 2 February 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08901

zbMATH Keywords

asymptoticsphase transitionsaddle point methodplane partitioninteger partitionbanded plane partition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Uses Software

• OEIS

Cites Work

• Mellin transforms and asymptotics: Harmonic sums
• The limiting distribution of the trace of a random plane partition
• Some useful theorems for asymptotic formulas and their applications to skew plane partitions and cylindric partitions
• Notes on plane partitions. III
• Asymptotische Aussagen über Partitionen
• ASYMPTOTIC PARTITION FORMULAE
• The on-line encyclopedia of integer sequences
• Notes on plane partitions. I
• Theory and Application of Plane Partitions. Part 2
• On Dimensions of a Random Solid Diagram
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