Rare Events in Dynamical Systems

The study of return-times and hitting-times of small sets ("rare events") in ergodic dynamical systems has undergone some intense research in the past 20 years. It is part of the wider field of probabilistic properties of (deterministic) dynamical systems. One general motivation from the sciences is that the times at which various extreme events (possibly modeling catastrophes in real-world systems) occur, often cannot be predicted over a reasonably long period. It is therefore important to at least understand the statistical laws governing these occurrences. Accordingly, there are well-developed stochastic models describing such rare events and enabling further theoretical analysis. These stochastic descriptions, however, necessarily start from simplifying assumptions and sometimes disregard additional detailed knowledge about the mechanisms driving the system. In contrast, there is a branch of ergodic theory which aims at analysing dynamical system models which incorporate this extra information, and rigorously derives statistical properties from the underlying deterministic dynamics. The central theme of this workshop is the aspiration for finding and proving probabilistic limit theorems which clarify patterns of occurrences of extreme events in nonlinear dynamics.

Coming soon.

Organizers

Name Affiliation
Françoise Pène University of Western Brittany
Tanja Schindler University of Vienna
Roland Zweimüller University of Vienna

Attendees

Name Affiliation
Max Auer University of Maryland
Peter Balint Budapest University of Technology and Economics
Dylan Bansard-Tresse CNRS & Ecole Polytechnique
Henk Bruin University of Vienna
Meagan Carney University of Queensland
Jean-Rene Chazottes CNRS & Ecole Polytechnique
Jorge Freitas University of Porto
Henna Koivusalo University of Bristol
Bernd Kumhera University of Vienna
Philipp Kunde Jagiellonian University
Matthew Nicol University of Houston
Tomas Persson Lund University
Maxence Phalempin Università degli Studi di Firenze
Benoit Saussol University Aix-Marseille
Yaofeng Su Georgia Institute of Technology
Domokos Szasz Budapest University of Technology and Economics
Dalia Terhesiu Leiden University
Mike Todd University of St Andrews
Imre Péter Tóth Budapest University of Technology and Economics
Sandro Vaienti University of Toulon
Nasab Yassine Université de Bretagne Sud
Hong-Kun Zhang University of Massachusetts Amherst
At a glance
Type:
Workshop
When:
March 18, 2024 — March 22, 2024
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Françoise Pène (UBO, Brest)
Tanja Schindler (U of Vienna)
Roland Zweimüller (U of Vienna)