Biorthogonal polynomials for two-matrix models with semiclassical potentials

DOI10.1016/j.jat.2006.05.006zbMath1213.42088arXivnlin/0605008OpenAlexW2068069132MaRDI QIDQ868823

Marco Bertola

Publication date: 26 February 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0605008

zbMATH Keywords

random matricesRiemann-Hilbert problemsbilinear concomitantbiorthogonal polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (12)

The Hermitian two matrix model with an even quartic potential ⋮ One-matrix differential reformulation of two-matrix models ⋮ Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis ⋮ Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane ⋮ A matrix model for the topological string. II: The spectral curve and mirror geometry ⋮ Non-intersecting squared Bessel paths: Critical time and double scaling limit ⋮ Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes ⋮ A Riemann-Hilbert problem for skew-orthogonal polynomials ⋮ Cauchy biorthogonal polynomials ⋮ The Cauchy two-matrix model ⋮ Universality in the two matrix model with a monomial quartic and a general even polynomial potential ⋮ Critical behavior in Angelesco ensembles

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