当前位置: X-MOL 学术J. Comb. Theory A › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Phase transitions from exp⁡(n1/2) to exp⁡(n2/3) in the asymptotics of banded plane partitions
Journal of Combinatorial Theory Series A ( IF 1.1 ) Pub Date : 2020-11-17 , DOI: 10.1016/j.jcta.2020.105363
Wenjie Fang , Hsien-Kuei Hwang , Mihyun Kang

We examine the asymptotics of a class of banded plane partitions under a varying bandwidth parameter m, and clarify the transitional behavior for large size n and increasing m=m(n) to be from c1n1exp(c2n1/2) to c3n49/72exp(c4n2/3+c5n1/3) for some explicit coefficients c1,,c5. The method of proof, which is a unified saddle-point analysis for all phases, is general and can be extended to other classes of plane partitions.



中文翻译:

相变从 经验值ñ1个/2经验值ñ2/3 在带状平面分区的渐近中

我们研究了在带宽参数m可变的情况下一类带状平面分区的渐近性,并阐明了大尺寸n和增加时的过渡行为。=ñ 来自 C1个ñ-1个经验值C2ñ1个/2C3ñ-49/72经验值C4ñ2/3+C5ñ1个/3 对于一些显式系数 C1个C5。证明方法是所有阶段的统一鞍点分析,它是通用的,可以扩展到其他类别的平面分区。

更新日期:2020-12-14
down
wechat
bug