Dynamics of postcritically bounded polynomial semigroups II: fiberwise dynamics and the Julia sets

DOI10.1112/jlms/jdt017zbMath1294.37019arXiv1007.0613OpenAlexW2124782438WikidataQ122915287 ScholiaQ122915287MaRDI QIDQ2843992

Hiroki Sumi

Publication date: 27 August 2013

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

Full work available at URL: https://arxiv.org/abs/1007.0613

zbMATH Keywords

Julia setsquasicirclespolynomial semi-groups

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics induced by flows and semiflows (37C10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Random dynamical systems (37H99)

Related Items (7)

Interaction cohomology of forward or backward self-similar systems ⋮ Symbolic template iterations of complex quadratic maps ⋮ Structure of Julia sets of polynomial semigroups with bounded finite postcritical set ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Transversality family of expanding rational semigroups ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

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