Workshop on
"Skew Product Dynamics and Multifractal Analysis"

Date and Location: 1-5th October 2012 in Luisenthal, Germany.

Organisers: Maik Gröger (Universität Bremen), Tobias Jäger (TU Dresden).


Aims and Scope

Questions related to dimension theory appear frequently in the study of skew product systems. Examples are the famous Weierstrass functions, which can be viewed as repellers of chaotically driven affine maps, Strange Nonchaotic Attractors which appear in skew products over irrational rotations, Coupled Bakers maps, which are interesting in the light of the Kaplan-Yorke Conjecture or certain skew products over horseshoes, which appear as models of homoclinic classes and heterodimensional cycles in smooth ergodic theory. So far, all these examples have been studied more or less independently, and no systematic studies have been carried out to develop thermodynamic formalism or tools for the multifractal analysis of skew product systems.

The aim of the workshop is to bring together experts from both sides - skew product dynamics and multifractal analysis/thermodynamic formalism - to work in the interface between the two fields. Since this is the first in a series of events, emphasis will be given to providing basic background knowledge on both areas by means of two mini-courses. These will be complemented by shorter talks on recent results and ongoing research projects.


Scientific Network

The workshop is part of the activities of a corresponent "scientific network", which is funded by the Scientific Network Program of the German Research Council and involves dynamicists from the universities of Bremen, Jena, Erlangen, Vienna and Rio de Janeiro (UFRJ). It is the first of four consecutive annual workshops in the years 2012-2015.


Participation

According to the regulations of the Scientific Network Program of the German Research Council, funding is a priori restricted to the permanent members of the network and two external speakers per workshop. This year's invited speakers are Ale Jan Homburg (University of Amsterdam) and Jörg Schmeling (Lund University). Apart from this, the workshops are certainly open to anyone and we greatly appreciate and welcome further participants. In case of interest, please contact the organisers.