Connectedness of Julia sets for a quadratic random dynamical system
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Publication:4472767
DOI10.1017/S0143385703000129zbMath1065.37034WikidataQ121122772 ScholiaQ121122772MaRDI QIDQ4472767
Wei-Yuan Qiu, Ying Li, Zhimin Gong
Publication date: 1 July 2004
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Random dynamical systems (37H99)
Related Items (9)
Interaction cohomology of forward or backward self-similar systems ⋮ Total disconnectedness of Julia sets of random quadratic polynomials ⋮ 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 ⋮ Real analyticity of Hausdorff dimension for expanding rational semigroups ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ Julia sets of random exponential maps
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