Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight

DOI10.1007/s00220-017-2888-8zbMath1379.33017arXiv1607.02821OpenAlexW3103595745MaRDI QIDQ2408553

Seung-Yeop Lee, Meng Yang

Publication date: 12 October 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02821

zbMATH Keywords

asymptotic behaviorperturbationGaussian weightplanar orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (14)

Planar orthogonal polynomials as Type II multiple orthogonal polynomials ⋮ Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles ⋮ A vector equilibrium problem for symmetrically located point charges on a sphere ⋮ Planar orthogonal polynomials as type I multiple orthogonal polynomials ⋮ Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges ⋮ Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ The random normal matrix model: insertion of a point charge ⋮ On bulk singularities in the random normal matrix model ⋮ Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials ⋮ On the moments of the characteristic polynomial of a Ginibre random matrix ⋮ Microscopic densities and Fock-Sobolev spaces ⋮ Scaling limits of planar symplectic ensembles ⋮ Exponential moments for disk counting statistics of random normal matrices in the critical regime

Uses Software

• DLMF

Cites Work

• Orthogonal polynomials in the normal matrix model with a cubic potential
• Fluctuations of eigenvalues of random normal matrices
• Asymptotic zero behavior of Laguerre polynomials with negative parameter
• First colonization of a spectral outpost in random matrix theory
• The distribution of zeros of asymptotically extremal polynomials
• On potential theoretic skeletons of polyhedra
• S-curves in polynomial external fields
• Orthogonal polynomials for a class of measures with discrete rotational symmetries in the complex plane
• The supercritical regime in the normal matrix model with cubic potential
• Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane
• Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight
• On Mother Bodies of Convex Polyhedra
• Coulomb gas ensembles and Laplacian growth
• The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star
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