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Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles

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arxiv math/0310278 v1 pith:JXPPUQVE submitted 2003-10-17 math.CA math.PRnlin.SI

J. Baik , T. Kriecherbauer , K. T.-R. McLaughlin , P. D. Miller This is my paper · ORCID
classification math.CAmath.PRnlin.SI
keywords resultsassociatedasymptoticsclassdiscreteensemblesgeneralorthogonal
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This is the full version of "Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results" appearing on this server and also published in IMRN 2003, no. 15, pp. 821-858.

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Cited by 2 Pith papers

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  1. Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

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    For fixed-q q-Racah tilings of a large hexagon, the 2D Gibbs measure collapses to a random 1D barcode staircase; the paper proves exponential concentration to a deterministic waterfall profile and conjectures the limi...

  2. Non-perturbative saturation of Krylov complexity, and its implications in quantum gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    Full-spectrum Krylov complexity provably saturates at ~e^{S(E)} log(1/λ) in every low-energy state — near the energy-dependent Heisenberg time, not the maximal e^{S_max} — because discrete-spectrum orthogonal polynomi...

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