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

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…