Multiplicative chaos is a theory developed by Kahane in the eighties. It is based on the
lognormal multiplicative chaos proposed by Mandelbrot to model turbulence, as well as on
the theory of random multiplicative cascade measures, which again was introduced by
B. Mandelbrot as a simple model exhibiting fractal and statistical features similar to those
observed experimentally in velocity fluctuations of fully developed turbulence.
The mathematical study of the latter model was initiated by Kahane and Peyrière.
The aim of this school is to introduce PhD students and young post-docs to these fields
highlighting some recent developments.
The core of the school consists of two mini courses, each with
five 90-minute lectures by
Julien Barral (Paris):
Geometric and dynamical aspects of Mandelbrot multiplicative cascades.
Eero Saksman (Helsinki):
Introduction to multiplicative chaos.
There will also be some invited talks in the general topic area of the school. In addition,
participants, in particular PhD students, are encouraged to deliver short talks of 10min to
introduce themselves and their research interests.
The venue is building S2 04, Hochschulstraße 8, 64289 Darmstadt (map).
Here is the programme booklet of the spring school
(you will receive a printed copy at your registration):
| Julien Barral |
Université Paris 13 |
| Eero Saksman |
Helsinki |
| Xiong Jin |
Manchester |
| Janne Junnila |
Helsinki |
| Sebastian Mentemeier |
Hildesheim |
The spring school is primarily aimed at PhD studens and postdocs, but everybody
is welcome to attend. Participants will be given the opportunity to deliver contributed talks.
The school is a continuation of the Spring schools
| "Probabilistic methods in population biology" | March 27-31, 2023 |
| "Random geometric graphs" | March 28-April 1, 2022 |
| "Complex Networks" | March 2-6, 2020 |
| "Selected topics in stochastic geometry " | February 25 - March 1, 2019 |
| "Spin Systems: Discrete and Continuous " | March 19-23, 2018 |
| "Probability in mathematics and physics " | March 27-31, 2017 |
| "Geometric models in probability" | April 4 - 8, 2016 |
| "Stochastic Analysis of Spatially Extended Models" | March 23 - 27, 2015 |
| "Spatial Models in Statistical Mechanics" | February 24 - 28, 2014 |
held at TU Darmstadt.
Frank Aurzada (Darmstadt)
Volker Betz (Darmstadt)
Matthias Meiners (Gießen)
Christian Mönch (Mainz)
