5 papers
Computability of Julia sets for complex Hénon maps: The role of attracting and neutral cycles
Suzanne Boyd, Christian Wolf
We study the computability of Julia sets for polynomial diffeomorphisms of with dynamical degree , whose prototypical examples are complex Hénon maps. In previ…
From Ergodic Theory and Probability to Fractal Geometry and Dynamics: Themes in the Work of Manfred Denker
Suzanne Boyd, Herold Dehling, Martin Schmoll +2
This article surveys the mathematical contributions of Manfred Denker, with a focus on themes that connect ergodic theory, probability theory, dynamical systems, fractal geometry,…
Computability properties of hyperbolic complex Hénon maps
Suzanne Boyd, Christian Wolf
In this article, we provide the first theoretical framework guaranteeing that computers can, in principle, be used to analyze the parameter space of complex Hémaps. More precisely…
A dynamical algorithm to compute hyperbolic Julia sets in polynomial time
Suzanne Boyd, Christian Wolf
Hyperbolic Julia sets of complex polynomials are known to be computable in polynomial time due to pioneering work of Braverman in 2005 (10.1016/j.entcs.2004.06.031). In this paper,…
Computability for Axiom A Polynomial Skew Products of
Suzanne Boyd, Christian Wolf
The computability of Julia sets of rational maps on the Riemann sphere has been intensively studied in recent years (see, e.g. https://doi.org/10.17323/1609-4514-2008-8-2-185-231,…