Local connectivity of the Mandelbrot set at some satellite parameters of bounded type
DOI10.1007/s00039-023-00637-8zbMath1526.37062arXiv1808.10425MaRDI QIDQ6173551
Dzmitry Dudko, Mikhail Lyubich
Publication date: 21 July 2023
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.10425
Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30) Renormalization of holomorphic dynamical systems (37F25) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Geometric limits in holomorphic dynamics (37F40) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)
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Cites Work
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- Quadratic Julia sets with positive area
- Repelling periodic points and landing of rays for post-singularly bounded exponential maps
- Rigidity of escaping dynamics for transcendental entire functions
- Dynamic rays of bounded-type entire functions
- Dynamical properties of some classes of entire functions
- Uniformization of attracting basins for exponential maps
- The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
- Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
- Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
- Local connectivity of some Julia sets containing a circle with an irrational rotation
- Dynamics of quadratic polynomials. I, II
- Regular or stochastic dynamics in real analytic families of unimodal maps
- On quasi-conformal (in-) compatibility of satellite copies of the Mandelbrot set. I
- Lebesgue measure of Feigenbaum Julia sets
- On the Lebesgue measure of the Feigenbaum Julia set
- Renormalization of almost commuting pairs
- A landing theorem for entire functions with bounded post-singular sets
- Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters
- Fixed points of composition operators. II
- A priori bounds for some infinitely renormalizable quadratics: II. Decorations
- A priori bounds for some infinitely renormalizable quadratics: III. Molecules
- Dynamics of exp (z)
- On the dynamics of polynomial-like mappings
- ESCAPING POINTS OF EXPONENTIAL MAPS
- Infinitely Renormalizable Quadratic Polynomials
- Renormalization and 3-Manifolds Which Fiber over the Circle
- Hausdorff dimension and conformal measures of Feigenbaum Julia sets
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