Browsing by Author "Dudko, Dzmitry"

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Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets
(2018)
Bartholdi, Laurent
;
Dudko, Dzmitry
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Algorithmic aspects of branched coverings II/V: sphere bisets and decidability of Thurston equivalence
(2020)
Bartholdi, Laurent
;
Dudko, Dzmitry
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Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence
(2021)
Bartholdi, Laurent
;
Dudko, Dzmitry
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Algorithmic aspects of branched coverings IV/V. Expanding maps
(2018)
Bartholdi, Laurent
;
Dudko, Dzmitry
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HOMEOMORPHISMS BETWEEN LIMBS OF THE MANDELBROT SET
(Amer Mathematical Soc, 2012)
Dudko, Dzmitry
;
Schleicher, Dierk
We prove that for every hyperbolic component of the Mandelbrot set, any two limbs with equal denominators are homeomorphic so that the homeomorphism preserves periods of hyperbolic components. This settles a conjecture on the Mandelbrot set that goes back to 1994.
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Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters
(2020)
Dudko, Dzmitry
;
Lyubich, Mikhail
;
Selinger, Nikita
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The Decoration Theorem for Mandelbrot and Multibrot Sets
(2016)
Dudko, Dzmitry