On polynomials sharing preimages of compact sets, and related questions

DOI10.1007/s00039-007-0638-3zbMath1154.30023arXivmath/0603452OpenAlexW2012844912MaRDI QIDQ2427034

Fedor Pakovitch

Publication date: 14 May 2008

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603452

zbMATH Keywords

Julia setsRitt's theoremscommuting polynomials

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (11)

On rational functions sharing the measure of maximal entropy ⋮ On amenable semigroups of rational functions ⋮ Algebraic curvesP(x) −Q(y) = 0 and functional equations ⋮ Geometric Properties of Inverse Polynomial Images ⋮ On semiconjugate rational functions ⋮ Uniform approximation by polynomials on compacta of special form ⋮ Unnamed Item ⋮ On self-correspondences on curves ⋮ Prime and composite Laurent polynomials ⋮ Ritt's theory on the unit disk ⋮ Polynomials Versus Finite Blaschke Products

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