La mesure harmonique de l'ensemble de Mandelbrot contient celles des ensembles de Julia
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Publication:2698556
DOI10.1007/s12220-023-01235-8OpenAlexW4362557579WikidataQ122455968 ScholiaQ122455968MaRDI QIDQ2698556
Publication date: 24 April 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-023-01235-8
Dynamical aspects of measure-preserving transformations (37A05) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)
Cites Work
- Unnamed Item
- Similarity between the Mandelbrot set and Julia sets
- The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
- A new proof of the Ahlfors five islands theorem
- Application of Zalcman's lemma to complete dynamics
- Asymptotically conformal similarity between Julia and Mandelbrot sets
- On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
- Bifurcation Currents in Holomorphic Families of Rational Maps
- Bifurcation currents and equidistribution on parameter space
- On the dynamics of rational maps
- Distribution of rational maps with a preperiodic critical point
- Holomorphic Motions and Related Topics
- On the dynamics of polynomial-like mappings
- Some typical properties of the dynamics of rational maps
- Holomorphic Motions and Polynomial Hulls
- Remarks on the proof of a generalized Hartogs Lemma
- Stability and bifurcations in projective holomorphic dynamics
- Julia sets in parameter spaces