Conformal equivalence of measures and dynamics of orthogonal polynomials

DOI10.1080/10236198.2019.1648446zbMath1427.37036arXiv1811.08865OpenAlexW2964735274MaRDI QIDQ5240626

Carsten Lunde Petersen, Signe Emalia Jensen

Publication date: 29 October 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08865

zbMATH Keywords

polynomial dynamicsorthogonal polynomialsJulia sets

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items

Geometric limits of mixed families

Cites Work

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• Complex dynamics
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• Invariant sets under iteration of rational functions
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• Orthogonal polynomials associated with invariant measures on Julia sets
• GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
• Dynamics in One Complex Variable. (AM-160)