Abstract
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 c1n−1exp(c2n1/2) to c3n−49/72exp(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.
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