Julia sets of random exponential maps

DOI10.4064/FM959-10-2020zbMath1490.37063arXiv2005.09469OpenAlexW3154187788WikidataQ115481854 ScholiaQ115481854MaRDI QIDQ5029016

Krzysztof Lech

Publication date: 11 February 2022

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09469

zbMATH Keywords

exponential mapJulia setcomplex dynamicsrandom dynamics

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Random iteration (37H12)

Cites Work

• Random dynamics of transcendental functions
• Conjugacy and counterexample in random iteration.
• Random iterations of polynomials of the form $z^2+c_n$: connectedness of Julia sets
• On iterates of e^z
• Random iterations of rational functions
• Real analyticity of Hausdorff dimension of finer Julia sets of exponential family
• Connectedness of Julia sets for a quadratic random dynamical system
• Connectedness and Stability of Julia Sets of the Composition of Polynomials of the Form z ² +c _n
• Real analyticity for random dynamics of transcendental functions

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