Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials

DOI10.1007/s00220-010-1177-6zbMath1226.30005arXiv0902.0193OpenAlexW2103543410MaRDI QIDQ627506

Evguenii A. Rakhmanov, Andrei Martínez-Finkelshtein

Publication date: 2 March 2011

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

Full work available at URL: https://arxiv.org/abs/0902.0193

zbMATH Keywords

potentialquadratic differentialequilibrium measureweighted capacityHeine-Stieltjes polynomialsVan Vleck polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Differentials on Riemann surfaces (30F30) Linear ordinary differential equations and systems in the complex domain (34M03)

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