Wandering orbit portraits

DOI10.1090/S0002-9947-01-02896-3zbMath1113.37026OpenAlexW1525241881MaRDI QIDQ2781370

Jan Kiwi

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02896-3

Mathematics Subject Classification ID

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 (24)

Wandering triangles exist ⋮ Laminations from the Main Cubioid ⋮ Unicritical laminations ⋮ Invariant graphs of rational maps ⋮ Slices of the parameter space of cubic polynomials ⋮ Locally connected models for Julia sets ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ The parameter space of cubic laminations with a fixed critical leaf ⋮ Symmetric cubic laminations ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Criterion for rays landing together ⋮ Distribution of postcritically finite polynomials III: Combinatorial continuity ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ The Julia sets of basic uniCremer polynomials of arbitrary degree ⋮ Hausdorff dimension and biaccessibility for polynomial Julia sets ⋮ Perfect subspaces of quadratic laminations ⋮ Cubic critical portraits and polynomials with wandering gaps ⋮ Trees and hyperbolicity. The continuum self-similar tree ⋮ Location of Siegel capture polynomials in parameter spaces ⋮ Models for spaces of dendritic polynomials ⋮ Real laminations and the topological dynamics of complex polynomials ⋮ From Cantor to semi-hyperbolic parameters along external rays ⋮ Laminations in the language of leaves

Cites Work

• Complex dynamics
• Invariant factors, Julia equivalences and the (abstract) Mandelbrot set
• Bifurcations of dynamic rays in complex polynomials of degree two
• Fixed points of polynomial maps. Part II. Fixed point portraits
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