Orthogonal polynomials for a class of measures with discrete rotational symmetries in the complex plane

DOI10.1007/s00365-016-9356-0zbMath1375.31003arXiv1509.05331OpenAlexW2964143667WikidataQ59523070 ScholiaQ59523070MaRDI QIDQ2402880

Yanyan Li

Publication date: 15 September 2017

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05331

zbMATH Keywords

Riemann-Hilbert problemlogarithmic potential theorynormal matrix modelorthogonal polynomials on the plane

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Boundary value problems in the complex plane (30E25) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (14)

Planar orthogonal polynomials as Type II multiple orthogonal polynomials ⋮ Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles ⋮ Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight ⋮ 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 ⋮ Point source equilibrium problems with connections to weighted quadrature domains ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ The Mother Body Phase Transition in the Normal Matrix Model ⋮ On bulk singularities in the random normal matrix model ⋮ Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials ⋮ Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane ⋮ Scaling limits of planar symplectic ensembles ⋮ Exponential moments for disk counting statistics of random normal matrices in the critical regime

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