Random Perturbations and Statistical Properties of Dynamical Systems

July 09 - 11, 2013
Max Planck Institute for Mathematics in the Sciences

The essence of Dynamical Systems is to mathematically understand general laws governing processes undergoing transformations on time. Amongst its main concerns, one wants to decide whether an asymptotic behaviour of the dynamics is robust under small random fluctuations, or random perturbations. It represents a natural point of view since observations of phenomena in nature are always subjected to small fluctuations. Although the interest in random perturbation of dynamical systems goes back to Kolmogorov, its systematic study is relatively recent. The methods used to tackle such problems demand and stimulate a rich exchange between different mathematical areas such as Probability, Analysis, Geometry, etc.

The aim of the workshop is to bring together experts working on different aspects related to random perturbations and statistical properties of dynamical systems, as well as young researchers and PhD students interested in the area.

All the speakers are supposed to motivate their talks and embed them into a broad context, in order to make them accessible also to non-specialists. In addition, there will be a few survey lectures on recent advances and techniques used to describe from a statistical point of view randomly perturbed dynamics, and a few contributed talks by young researchers.

The topics of the conference include:

  • random perturbations and physical measures of dynamical systems;
  • large deviations and concentration inequalities;
  • stochastic aspects of bifurcations;
  • statistical and stochastic stability.

Date and Location

July 09 - 11, 2013
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22
04103 Leipzig
Germany
see travel instructions

Scientific Organizers

José Ferreira Alves
University of Porto
Department of Mathematics
Portugal

Jürgen Jost
Max Planck Institute for Mathematics in the Sciences
Germany

Stefano Luzzatto
Abdus Salam International Centre for Theoretical Physics - ICTP
Italy

Christian S. Rodrigues
Max Planck Institute for Mathematics in the Sciences
Germany

Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email

15.07.2013, 01:27