This international conference, for which full funding was awarded from the Max Planck Society, took place at the MPIPKS Dresden in July/August 2011 for a duration of 3 weeks. The aim was to particularly bring together mathematicians and theoretical physicists working on the conference topic. An overwhelming number of applications was received. Together with R.Zweimueller (Surrey), E.Barkai (Bar-Ilan) and H.Kantz (Dresden) I have been organizing this event as the main organizer.

I recently awarded an Outstanding Referee Award 2010 from the American Physical Society honouring my work as a referee for the Physical Review journals. I furthermore accepted an invitation to become member of the British EPSRC Peer Review College starting from Spring 2010.

Because of the big success of an international conference on anomalous transport, please see below, we organizers decided to edit a multi-author reference book on the very same topic, as an introduction to this important, very active field of research. The book (584 pages) got published by Wiley-VCH in July 2008. Until March 2011 more than 240 copies were sold, and the book was cited more than 100 times (according to Web of Science) / more than 130 times (Google Scholar). It thus quickly developed into a standard reference for this whole field. Please see the book's homepage for further details.

In an interdisciplinary collaboration with Peter Dieterich, TU Dresden, A. Schwab, University of Muenster, and R. Preuss, MPI for Plasma Physics, Garching, we showed that biological cells can exhibit a very interesting dynamical behavior: Isolated single cells were put on substrates on which they crawl (with a remote similarly to `caterpillars'). Recording their trajectories with a video camera, the experimental data matches nicely to statistical predictions of a specific theoretical model (a so-called fractional Klein-Kramers equation), which describes a transition from sub- to superdiffusive behavior as time increases. That is, the cell's dynamics is very different from ordinary Brownian motion.
These results have been published as an article in the international top journal Proceedings of the National Academy of Sciences in January 2008; see PNAS 105, 459--463 (2008). This article was already cited more than 70 times since then (Web of Science).
See the Dresdner Universitaetsjournal 12/2008, p.6 for a short popular science account of our findings.

In 2003 I completed a 300-page summary of my research performed over the previous years. This work got accepted as my Habilitation Thesis at the TU Dresden. An updated and considerably amended 460 page version got published in June 2007 as a book in the Advanced Series in Nonlinear Dynamics, World Scientific, Vol.24. Until March 2013 more than 350 copies were sold, and the book was cited more than 40 times (Web of Science) / more than 60 times (Google Scholar). Please see the book's homepage for further details.

In September 2006 I awarded a research grant from the British EPSRC council. With this grant (£250,000) I partially funded my own post for two years, I received travel money, money for computers and money for inviting collaborators. The grant included a 2-year postdoc position.

This very interdisciplinary international conference, for which full funding was awarded from the Heraeus Foundation, took place at the Physikzentrum Bad Honnef in July 2006 for a duration of 4 days. The meeting involved about 70 international participants from 17 different countries. Together with G.Radons (Chemnitz) and I.M.Sokolov (Berlin) I have been organizing this event as the main organizer. See also the multi-author reference book related to this conference.

This international conference, for which full funding was awarded from the Max Planck Society, took place at the MPIPKS Dresden in August 2002 for a duration of 3 weeks. It involved about 90 participants from 22 different countries. Together with P.Gaspard (Brussels), H.van Beijeren (Utrecht) and J.R.Dorfman (College Park) I have been organizing this event as the main organizer. All of us were serving as guest editors at the International scientific journal Physica D for the accompanying 400-page Special Issue.

During my Ph.D. thesis work I discovered the phenomenon that diffusion coefficients can be fractal functions of control parameters. At first view this finding appears to be counter-intuitive, since usually one expects physical quantities to change smoothly under parameter variation as, for example, in Ohm's law.
Subsequently it was shown by colleagues, coworkers and myself that this behavior is quite typical not only for diffusion but also for other types of transport coefficients (e.g., electrical conductivities, chemical reaction rates) characterizing transport in low-dimensional deterministic dynamical systems exhibiting spatial periodicities. This class of systems thus exhibits properties that are at the borderline of traditional statistical physics revealing fingerprints of an underlying microscopic deterministic dynamics.
Physical systems of this class being accessible in experiments are, for example, semiconductor devices like antidots and Josephson junctions, certain types of ratchets, and corrugated vibratory conveyors, the latter frequently being used in industrial applications for transporting granular entities. For all these systems there are theoretical predictions of fractal, or at least highly irregular, parameter dependencies of physical transport properties. Although hints on experimental observations of such irregularities already exist in the literature, it still remains to clearly match theory with experiments at this point.

some accounts of this finding in textbooks:

reference:
R.Klages, J.R.Dorfman, Simple maps with fractal diffusion coefficients, Phys. Rev. Lett. 74, 387-390 (1995)
This paper was cited more than 70 times after its publication (Web of Science) / more than 100 times (Google Scholar).