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.
Organizers
Name | Affiliation |
---|---|
Françoise Pène | University of Western Brittany |
Tanja Schindler | Jagiellonian University |
Roland Zweimüller | University of Vienna |
Attendees
Name | Affiliation |
---|---|
Seyyed Alireza Ahmadi | University of Sistan and Baluchestan |
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 |
Nooshin Darban Maghami | University of Sistan and Baluchestan |
Matthew Nicol | University of Houston |
Tomas Persson | Lund University |
Maxence Phalempin | Università degli Studi di Firenze |
Benoit Saussol | University Aix-Marseille |
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 |