Workshop on
``Ergodic Theory and Holomorphic Dynamics''

Date and Location: September 28 - October 2 2015 at the Erwin-Schrödinger Institute in Vienna, Austria.

Organisers: Anna Miriam Benini (Roma II - Tor Vergata), Henk Bruin (University of Vienna),
Dierk Schleicher (Jacobs University Bremen), Sebastian van Strien (Imperial College).

Aims and Scope

The theory of complex dynamics branches out in many directions, and makes connections with complex analysis, chaotic dynamics, symbolic languages, algebra and continuum theory. The main theme of this workshop will be the interactions of ergodic theory with complex dynamics, and special attention will be given to ergodic theory and transcendentaldynamics: as the knowledge about the dynamics of rational functions progresses, investigating transcendental functions are a natural next step. For this class of maps, the measures of interest are frequently infinite, thus bordering the area of infinite ergodic theory, but all aspects on the crossing between complex dynamics and ergodic theory can be addressed. We hope that this workshop will be an excellent forum to present recent developments in the two fields.

Specific topics:
  • Measure theoretical properties for rational maps.
  • Transcendental maps and infinite measures.
  • Thermodynamic methods for holomorphic maps.
  • Multifractal analysis of Julia sets.

Invited Speakers

To be announced soon....

Budapest-Viennna Dynamical Systems Seminar

Friday afternoon will be dedicated to the Budapest-Vienna Seminar. Speakers on this afternoon are TBA.....

Participation and Funding

Funding for invited participants is provided by the Schrödinger Institute, the University of Vienna and Imperial College. In case of interest, please contact the organisers.