Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles
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Publication:3068605
DOI10.1017/S0143385709000923zbMath1219.37037arXiv0811.4536WikidataQ123269472 ScholiaQ123269472MaRDI QIDQ3068605
Publication date: 17 January 2011
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.4536
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 (14)
Symbolic template iterations of complex quadratic maps ⋮ 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 ⋮ A dichotomy for Fatou components of polynomial skew products ⋮ Complex dynamics of Möbius semigroups ⋮ Preservation of external rays in non-autonomous iteration ⋮ Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ Orbit portraits in non-autonomous iteration ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups ⋮ Postcritical sets and saddle basic sets for Axiom A polynomial skew products on ⋮ Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method
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