Variation of the equilibrium energy and theS-property of stationary compact sets
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Publication:2880054
DOI10.1070/SM2011v202n12ABEH004209zbMath1244.31001MaRDI QIDQ2880054
Sergey P. Suetin, Evguenii A. Rakhmanov, Andrei Martínez-Finkelshtein
Publication date: 12 April 2012
Published in: Sbornik: Mathematics (Search for Journal in Brave)
orthogonal polynomialsPadé approximantsrational approximationequilibrium distributionsstationary compact set
Approximation by rational functions (41A20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
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On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Capacity of a compact set in a logarithmic potential field ⋮ On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials ⋮ Openness of regular regimes of complex random matrix models ⋮ On multiple orthogonal polynomials for three Meixner measures ⋮ Method of interior variations and existence of \(S\)-compact sets ⋮ Distribution of zeros of the Hermite-Padé polynomials for a system of three functions, and the Nuttall condenser ⋮ Multipoint Hermite–Padé approximants for three beta functions ⋮ The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system ⋮ Hermite-Padé approximants to the Weyl function and its derivative for discrete measures ⋮ Zero distribution of complex orthogonal polynomials with respect to exponential weights ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles ⋮ Asymptotics of Meixner polynomials and Christoffel–Darboux kernels ⋮ An asymptotic formula for a two-point analogue of Jacobi polynomials
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