Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

DOI10.1090/S0002-9947-2011-05199-8zbMath1247.37042arXiv0708.3187OpenAlexW2109509735WikidataQ121565551 ScholiaQ121565551MaRDI QIDQ3093472

Hiroki Sumi, Rich Stankewitz

Publication date: 17 October 2011

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

Full work available at URL: https://arxiv.org/abs/0708.3187

zbMATH Keywords

Julia setscomplex dynamicspolynomial semigroupsrandom iterationrandom complex dynamics

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (10)

Interaction cohomology of forward or backward self-similar systems ⋮ Transversality family of expanding rational semigroups ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Complex dynamics of Möbius semigroups ⋮ Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ The equilibrium states for semigroups of rational maps ⋮ Nondiscrete parabolic characters of the free group F2: supergroup density and Nielsen classes in the complement of the Riley slice ⋮ Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

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