The workshop is part of the conference program of the DFG-funded CRC 701 "Spectral Structures and Topological Methods in Mathematics" at the University of Bielefeld.
Christian Kuehn, Max Planck Institute for the Physics of Complex Systems, Dresden
Grant Lythe, University of Leeds
Peter Reimann, Universität Bielefeld
Michael Röckner, Universität Bielefeld
Marco Romito, Università di Firenze
Julian Tugaut, Universität Bielefeld
Hendrik Weber, University of Warwick
Topics
Dynamical systems are often modelled by differential or partial differential equations. In many situations, random fluctuations either present in Nature or representing the unresolved degrees of freedom, cannot be neglected as they may drastically change the system's behaviour. For instance, in multistable systems arbitrarily small random fluctuations can enable transitions between stable states which would not be possible in the absence of noise. Whether such transitions are observed will depend on the timescale of interest. The related concepts of phase transition, metastability and metastable timescales have been developed in the context of statistical-mechanics type models.
A different approach to random dynamical systems relies on concepts of stability and random attractors which are inspired by the analogous concepts for classical dynamical systems. The corresponding theory of bifurcations in random dynamical systems is still under development.
In this workshop, we intend to bring together researchers working on different aspects of random dynamical systems, with a focus on noise-induced phenomena and spatially extended systems.
The number of presentations will be strictly limited in order to allow for ample time for discussion.
Registration
Everyone is welcome! Participants are kindly requested to register by 25 October 2010. If you intend to participate, please send an e-mail to gentz@math.uni-bielefeld.de, stating your name and affiliation. Please make sure to include "Workshop RDS10" in the subject line.
Program
The workshop will start on Wednesday, 3 November 2010, at 9:00 h, with registration and coffee. Talks start at 9:30 h. We plan to close the workshop on Friday, 5 November 2010, around 16:00 h. Invited talks will be 45 minutes plus discussion.