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conference
09/07/2013 11/07/2013

Random Perturbations and Statistical Properties of Dynamical Systems

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.

Speakers

Jean-René Chazottes

École Polytechnique, France

Jorge M. M. de Freitas

Faculdade de Ciências da Universidade do Porto, Portugal

Franco Flandoli

Università di Pisa, Italy

Barbara Gentz

Universität Bielefeld, Germany

Ale Jan Homburg

University of Amsterdam, Netherlands

Yuri I. Kifer

The Hebrew University of Jerusalem, Israel

Paulo R. C. Ruffino

Universidade Estadual de Campinas, Brazil and Humboldt-Universität zu Berlin, Germany

Sandro Vaienti

Centre de Physique Théorique - Luminy, France

Program

Jul 9, 2013
09:00 - 09:30
09:30 - 11:00 Franco Flandoli (Università di Pisa, Italy)
Is the random attractor a singleton?
11:00 - 11:30
11:30 - 12:20 Paulo R. C. Ruffino (Universidade Estadual de Campinas, Brazil)
Averaging along diffusions in foliated manifolds
12:20 - 14:30
14:30 - 15:00 Martin Kell (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
Representation of Markov chains via random maps
15:00 - 15:10
15:10 - 15:40 Doris Bohnet (Université de Bourgogne, Dijon Cedex, France)
Margulis measure in the context of partially hyperbolic dynamics
15:40 - 16:10
16:10 - 17:00 Barbara Gentz (Universität Bielefeld, Bielefeld, Germany)
Small eigenvalues and mean transition times for irreversible diffusions
Jul 10, 2013
09:30 - 11:00 Yuri I. Kifer (The Hebrew University of Jerusalem, Israel)
Nonconventional limit theorems
11:00 - 11:30
11:30 - 12:20 Sandro Vaienti (Centre de Physique Théorique - Luminy, France)
Extremes and Borel-Cantelli theorems for randomly perturbed systems
12:20 - 14:30
14:30 - 15:00 Helder Vilarinho (Universidade da Beira Interior, Covilhã, Portugal)
Decay of correlations for random non-uniformly expanding maps
15:00 - 15:10
15:10 - 15:40
15:40 - 16:10
16:10 - 17:00 Jean-René Chazottes (École Polytechnique, France)
On concentration inequalities for dynamical systems
19:00 - 00:00
Jul 11, 2013
09:30 - 11:00 José Ferreira Alves (University of Porto, Portugal)
Statistical stability in chaotic dynamics
11:00 - 11:30
11:30 - 12:20 Jorge M. M. de Freitas (Faculdade de Ciências da Universidade do Porto, Portugal)
Extremal behaviour of deterministic and random dynamical systems
12:20 - 14:30
14:30 - 15:00 Hale Aytaç (University of Porto, Porto, Portugal)
Extremal behaviour of randomly perturbed dynamical systems
15:00 - 15:10
15:10 - 15:40 Atsuya Otani (Universität Erlangen, Erlangen, Germany)
Bifurcation and Hausdorff dimension in families of chaotically driven maps with multiplicative forcing
15:40 - 16:10
16:10 - 17:00 Ale Jan Homburg (University of Amsterdam, Netherlands)
Iterated function systems, skew product dynamics, partially hyperbolic dynamics

Participants

José Ferreira Alves

University of Porto, Portugal

Hale Aytaç

University of Porto, Portugal

Imran Habib Biswas

Tata Institute of Fundamental Research, India

Doris Bohnet

Université de Bourgogne, France

Jean-René Chazottes

École Polytechnique, France

Jorge M. M. de Freitas

Faculdade de Ciências da Universidade do Porto, Portugal

Manh Hong Duong

Eindhoven University of Technology, Netherlands

Albertas Dvirnas

Kaunas University of Technology, Lithuania

Peyman Eslami

University of Rome "Tor Vergata", Italy

Franco Flandoli

Università di Pisa, Italy

Manjunath Gandhi

Jacobs University Bremen, Germany

Barbara Gentz

Universität Bielefeld, Germany

Ale Jan Homburg

University of Amsterdam, Netherlands

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences, Germany

Thomas Kaijser

Linkoping University, Sweden

Martin Kell

Max Planck Institute for Mathematics in the Sciences, Germany

Yuri I. Kifer

The Hebrew University of Jerusalem, Israel

Rüdiger Kürsten

Max Planck Institute for Mathematics in the Sciences, Germany

Tobias Lehmann

University of Bath, Germany

Ralph Lettau

University of Augsburg, Germany

Stefano Luzzatto

Abdus Salam International Centre for Theoretical Physics - ICTP, Italy

Ziyad Muslimani

Universität Düsseldorf, Germany

Julian Newman

Imperial College London, United Kingdom

Thu Nguyen

University of Bonn, Germany

Vasilis Oikonomou

Max Planck Institute for Mathematics in the Sciences, Greece

Eckehard Olbrich

Max Planck Institute for Mathematics in the Sciences, Germany

Atsuya Otani

Universität Erlangen, Germany

Jing Qin

Interdisziplinary Center for Bioinformatics, Germany

Johannes Rauh

MPI MIS, Germany

Christian S. Rodrigues

Max Planck Institute for Mathematics in the Sciences, Germany

Lavinia Roncoroni

Max Planck Institute, Germany

Paulo R. C. Ruffino

Universidade Estadual de Campinas, Brazil

Christian Seifert

TU Hamburg-Harburg, Germany

Upanshu Sharma

TU/e, Netherlands

Sacha Sokoloski

Max Planck Institute for Mathematics in the Sciences, Germany

Emanuele Spadaro

Max Planck Institute for Mathematics in the Science, Germany

Doan Thai Son

Imperial College London, United Kingdom

Tat Dat Tran

Max Planck Institute for Mathematics in the Sciences, Germany

Sandro Vaienti

Centre de Physique Théorique - Luminy, France

Alison Marcelo Van Der Laan Melo

UNICAMP, Brazil

Helder Vilarinho

Universidade da Beira Interior, Portugal

Shouhong Wang

Indiana University, USA

Ran Wang

University of Amsterdam, Netherlands

Wei Yang

RICAM, Austrain Academy of Sciences, Austria

Odette Sylvia Yaptieu Djeungue

Max-Planck-Institute for Mathematics in the Sciences, Germany

Scientific Organizers

José Ferreira Alves

University of Porto, 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, Germany Contact via Mail