Derives explicit limit shapes and arctic curves for q^Volume-weighted Muttalib-Borodin ensembles on plane partitions via the first solved constrained Riemann-Hilbert problem for a bi-orthogonal ensemble.
Deift,Riemann-Hilbert Methods in the Theory of Orthogonal Polynomials, arXiv: Classical Analysis and ODEs, (2006)
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Discrete and Continuous Muttalib--Borodin Process: Large Deviations and Limit Shape Analysis
Derives explicit limit shapes and arctic curves for q^Volume-weighted Muttalib-Borodin ensembles on plane partitions via the first solved constrained Riemann-Hilbert problem for a bi-orthogonal ensemble.