5 papers · 1 filter
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…
Computability of -Beroulli Measures and Measures of Maximal Entropy on Coded Shift Spaces
Tamara Kucherenko, Marco López, Christian Wolf
In this paper, we investigate the computability of -Bernoulli measures, with a particular focus on measures of maximal entropy (MMEs) on coded shift spaces. Coded shif…
Ergodic theory on coded shift spaces
Tamara Kucherenko, Martin Schmoll, Christian Wolf
We study ergodic-theoretic properties of coded shift spaces. A coded shift space is defined as a closure of all bi-infinite concatenations of words from a fixed countable generatin…