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.

March 18, 2024
09:00 — 09:30
Registration & Welcome
09:30 — 10:30
Mike Todd (U of St Andrews)
Extremes and self-recurrence
10:30 — 11:00
Coffee
12:00 — 13:30
Lunch Break
13:30 — 14:15
Discussions
15:15 — 15:45
Coffee
15:45 — 16:45
March 19, 2024
10:30 — 11:00
Coffee
11:00 — 12:00
Meagan Carney (U of Queensland, Brisbane)
Runs of Extremes of Observables and Applications
12:00 — 13:30
Lunch Break
13:30 — 16:45
Hike
March 20, 2024
10:30 — 11:00
Coffee
12:00 — 13:30
Lunch Break
13:30 — 15:15
Discussions
15:15 — 15:45
Coffee
15:45 — 16:45
March 21, 2024
09:30 — 10:30
10:30 — 11:00
Coffee
11:00 — 12:00
12:00 — 13:30
Lunch Break
13:30 — 15:15
Discussions
15:15 — 15:45
Coffee
18:30 — 22:00
Conference Dinner
March 22, 2024

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
Preview of Mike Todd - Extremes and self-recurrence
Mike Todd (U of St Andrews): Extremes and self-recurrence
March 18, 2024 09:30 — 10:30
Preview of Maxence Phalempin - Averaging result for differential equations perturbed by a Z-periodic Lorentz gas
Maxence Phalempin (Università degli Studi di Firenze): Averaging result for differential equations perturbed by a Z-periodic Lorentz gas.
March 18, 2024 15:45 — 16:45
Preview of Meagan Carney - Runs of Extremes of Observables and Applications
Meagan Carney (U of Queensland, Brisbane): Runs of Extremes of Observables and Applications
March 19, 2024 11:00 — 12:00
Preview of Dylan Bansard-Tresse - Rare events point processes in infinite measure dynamical systems
Dylan Bansard-Tresse (Ecole Polytechnique): Rare events point processes in infinite measure dynamical systems
March 20, 2024 15:45 — 16:45
Preview of Philipp Kunde - Dichotomy results for eventually always hitting time statistics
Philipp Kunde (Jagiellonian U, Krakow): Dichotomy results for eventually always hitting time statistics
March 21, 2024 09:30 — 10:30
Preview of Henna Koivusalo - Dynamical subsets in iterated function systems
Henna Koivusalo (U Bristol): Dynamical subsets in iterated function systems
March 21, 2024 11:00 — 12:00
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 (Jagiellonian U, Krakow)
Roland Zweimüller (U of Vienna)