On the supports of vector equilibrium measures in the Angelesco problem with nested intervals

DOI10.1134/S0081543818040144zbMath1401.31008OpenAlexW2886200160WikidataQ129368366 ScholiaQ129368366MaRDI QIDQ1798077

V. G. Lysov, D. N. Toulyakov

Publication date: 23 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818040144

zbMATH Keywords

equilibrium measureequilibrium problemmeromorphic functions on Riemann surfaces

Mathematics Subject Classification ID

Meromorphic functions of one complex variable (general theory) (30D30) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Riemann surfaces (30F99)

Related Items (3)

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class ⋮ Constructive solution of one vector equilibrium problem ⋮ Integral formulas for recovering extremal measures for vector constrained energy problems

Cites Work

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• Multidimensional Toda lattices: continuous and discrete time
• On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
• Equilibrium of vector potentials and uniformization of the algebraic curves of genus \(0\)
• On a vector potential-theory equilibrium problem with the Angelesco matrix
• On multiple orthogonal polynomials for three Meixner measures
• On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system
• Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses
• Discrete integrable systems generated by Hermite-Padé approximants
• Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems
• Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports
• Distribution of the zeros of Padé polynomials and analytic continuation
• Distribution of the zeros of Hermite-Padé polynomials
• The asymptotics of Hermite-Padé polynomials for two Markov-type functions
• Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials
• On multiple orthogonal polynomials for discrete Meixner measures
• The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations
• Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
• On the equilibrium problem for vector potentials
• Hermite-Pade approximants for systems of Markov-type functions
• ASYMPTOTICS OF SIMULTANEOUSLY ORTHOGONAL POLYNOMIALS IN THE ANGELESCO CASE
• On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials
• Families of vector measures which are equilibrium measures in an external field

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