Biaccessible angles and core entropy for complex quadratic maps
- Date
- Jan 31, 2013
- Time
- 2:00 PM - 3:00 PM
- Speaker
- Prof. Henk Bruin
- Affiliation
- Universität Wien
- Series
- TUD Mathematik AG Analysis & Stochastik
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Dr. T. Oertel-Jäger
- Description
- 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
Last modified: Dec 3, 2012, 3:36:07 PM
Location
TUD Willers-Bau (WIL A 124)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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