Fekete polynomials and shapes of Julia sets

DOI10.1090/tran/7440zbMath1441.30054arXiv1607.05055OpenAlexW2962843990WikidataQ122937630 ScholiaQ122937630MaRDI QIDQ5380503

Malik Younsi, Kathryn A. Lindsey

Publication date: 5 June 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05055

zbMATH Keywords

Julia setspolynomialsLeja pointsHausdorff distanceFekete points

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Capacity and harmonic measure in the complex plane (30C85)

Related Items (3)

On dynamics of asymptotically minimal polynomials ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ Attractor sets and Julia sets in low dimensions

Cites Work

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• On the degree of convergence of lemniscates in finite connected domains
• On the calculation of approximate fekete points: the univariate case
• Dynamical dessins are dense
• Computing approximate Fekete points by QR factorizations of Vandermonde matrices
• On the spacing of Fekete points for a sphere, ball or simplex
• On coefficient problems for univalent functions and conformal dimension
• Complex dynamics
• Harmonic measure and polynomial Julia sets
• On the approximation of a continuum by lemniscates
• Equidistribution of points via energy
• Spectral element methods on unstructured meshes: comparisons and recent advances
• An Algorithm for Computing Fekete Points in the Triangle
• Shapes of polynomial Julia sets
• Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
• Dynamics in One Complex Variable. (AM-160)

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