2 papers
math.DS2016
Algorithmic aspects of branched coverings IV/V. Expanding maps
Laurent Bartholdi, Dzmitry Dudko
Thurston maps are branched self-coverings of the sphere whose critical points have finite forward orbits. We give combinatorial and algebraic characterizations of Thurston maps tha…
math.DS2010
Homeomorphisms between limbs of the Mandelbrot set
Dzmitry Dudko, Dierk Schleicher
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…