Random plane partitions with k-periodic weights develop up to k turning points near the vertical boundary, with correlated GUE-corners processes at each point and rational-slope facets between them.
Gibbs Ensembles of Nonintersecting Paths
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Turning point processes in plane partitions with periodic weights of arbitrary period
Random plane partitions with k-periodic weights develop up to k turning points near the vertical boundary, with correlated GUE-corners processes at each point and rational-slope facets between them.