Workshop on Random Dynamical Systems


Collaborative Research Centre 701
 
      17 — 19 November 2008

      Department of Mathematics, Room H10

      University of Bielefeld

 


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.
 
The participants
 
 
Topics
 
Dynamical systems are often subject to random perturbations, and even for small perturbations, the resulting random dynamics can be drastically different from the deterministic one. For instance, in multistable systems arbitrarily small noise can enable transitions between stable states which would not be possible in the absence of noise. Whether such transitions are observed depends on the time scale of interest. The related concepts of phase transition, metastability and metastable time scales 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.

A particular challenge lies in the study of nonautonomous systems with noise as many well established methods cannot easily be extended to driven systems or systems with multiple time scales.

              
Excitability of type I: Morris–Lecar model

In this workshop, we intend to bring together researchers working on different aspects of dynamics in systems with noise. The number of presentations will be strictly limited in order to allow for ample time for discussion.
 
Invited speakers (confirmed)
 
Michael Allman (Warwick) 
Nils Berglund (Orléans)
Alessandra Bianchi (Berlin)
Dirk Blömker (Augsburg)
Anton Bovier (Bonn)
Leonid Bunimovich (Atlanta, GA)
Jiří Černý (Zürich)
Gary Froyland (Sydney)
Peter Imkeller (Berlin)
Yuri Kifer (Jerusalem)
Peter Kloeden (Frankfurt a. M.)
Gabriel Lord (Edinburgh)
Peter Reimann (Bielefeld)
Luc Rey-Bellet (Amherst, MA)
Denis Talay (Sophia Antipolis)
Michael Zaks (Berlin)
 
Organizer
 
Barbara Gentz (gentz@math.uni-bielefeld.de)
 
Further information
 
Registration

Everyone is welcome! Participants are kindly requested to register by 12 November 2008. 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 RDS08" in the subject line.

 
Program

The workshop will start on Monday, 17 November 2008, at 9:30 h, and we plan to close the workshop on Wednesday, 19 November 2008, around 17:00 h. Invited talks will be 50 minutes plus discussion.

Program and abstracts (pdf file, as of 13 November 2008)
Abstracts and slides, as far as provided by the speakers (as of 4 December 2008)
Participants (as of 13 November 2008)

Social events

Informal get-together on Sunday evening at Brauhaus Joh. Albrecht in the old town, starting 19:30 h
Joint dinner in the city at Weinbar 3A on Tuesday evening, starting 19:30 h (registration required)

Local information

Upon arrival: How to reach the university
Accommodation
How to find the Brauhaus Joh. Albrecht (for Sunday evening)
Workshop dinner at Weinbar 3A (for Tuesday evening)

Pictures

More group pictures and pictures taken during the coffee breaks and at the joint dinner
 

Last modified: 28 November 2008, Barbara Gentz