Biaccessible angles and core entropy for complex quadratic maps

Datum

31.01.2013

Zeit

14:00 - 15:00

Sprecher

Prof. Henk Bruin

Zugehörigkeit

Universität Wien

Serie

TUD Mathematik AG Analysis & Stochastik

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Dr. T. Oertel-Jäger

Beschreibung

External rays are an important tool in the description of Julia sets of polynomials. For quadratic polynomials $z \mapsto z^2+c$ with parameter $c$ on the boundary of the Mandelbrot set, it is via external rays that the dynamics on Julia sets can be seen as a factor of the angle doubling map. Biaccessible angles are those at which is factor map is not injective. In this talk I want to present joint work with Dierk Schleicher (Jacobsuniversity Bremen) on the Hausdorff dimension of biaccessible angles (both in dynamical and parameter space), and on what this can tell us about the topological entropy on the Hubbard tree (i.e., the core of the Julia set).

Links

• AG Analysis & Stochastik

Letztmalig verändert: 03.12.2012, 15:36:07