Gemeinsames Kolloquium der Arbeitsgruppen Stochastik
TU Darmstadt / Goethe-Universität Frankfurt / Gutenberg-Universität Mainz
Termine im Sommersemester 2019
Freitag, 3. Mai 2019, TU Darmstadt | Altes Hauptgebäude, S1 03 | Raum 23,
Hochschulstraße 1, 64289 Darmstadt
15:15 Uhr: Herbert Spohn (TU München und Uni Bonn)
Gibbs measures of the Toda chain and random matrix theory
16:15 – 16:45 Uhr: Kaffee und Tee
16:45 Uhr: Lisa Hartung (Johannes Gutenberg-Universität Mainz):
The Ginibre characteristic polynomial and Gaussian Multiplicative Chaos
Im Anschluss gemeinsame Nachsitzung.
Kurze Wegbeschreibung:
Haupteingangstreppe (Hochschulstraße 1) S1 03 eintreten,
dann auf der gleichen Ebene geradeaus bis zum Ende des Flures (Gebäudekomplexes),
zum Hörsaal Nr. 23, gehen.
Freitag, 24. Mai 2019, Goethe-Universität Frankfurt, Campus Bockenheim, Robert-Mayer-Straße 10, RAUM 711 groß, 7. OG, Frankfurt am Main
15:15 h Roland Bauerschmidt (University of Cambridge):
Dynamics of strongly correlated spin systems
16:15 – 16:45 Uhr: Kaffee und Tee
16:45 h Prof. Dr. Chiranjib Mukherjee (Universität Münster):
Gaussian multiplicative chaos in the Wiener space
Roland Bauerschmidt: Dynamics of strongly correlated spin systems
I will discuss some results on the problem of understanding the long-time behaviour of Glauber and Kawasaki dynamics of spin systems in the regimes of strong correlations. This is joint work with Thierry Bodineau.
Chiranjib Mukherjee: Gaussian multiplicative chaos in the Wiener space
In the classical finite dimensional setting, a Gaussian multiplicative chaos (GMC) is obtained by tilting an ambient measure by the exponential of a centred Gaussian field indexed by a domain in the Euclidean space. In the two-dimensional setting and when the underlying field is "log-correlated", GMC measures share close connection to the 2D Liouville quantum gravity, which has seen a lot of revived interest in the recent years.
A natural question is to construct a GMC in the infinite dimensional setting, where techniques based on log-correlated fields in finite dimensions are no longer available. In the present context, we consider a GMC on the classical Wiener space, driven by a (mollified) Gaussian space-time white noise. In $d\geq 3$, in a previous work with A. Shamov and O. Zeitouni, we showed that the total mass of this GMC, which is directly connected to the (smoothened) Kardar-Parisi-Zhang equation in $d\geq 3$, converges for small noise intensity to a well-defined strictly positive random variable, while for larger intensity (i.e. for small temperature) it collapses to zero. We will report on joint work with Yannic Bröker (Münster) where we study the endpoint distribution of a Brownian path under the GMC measure and show that, for low temperature, the endpoint GMC distribution localizes in few spatial islands and produces asymptotically purely atomic states.
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Freitag, 14. Juni 2019, Johannes Gutenberg-Universität Mainz, Raum 03-428, Staudingerweg 9, 55128 Mainz
15:15 Uhr Sebastian Andres (University of Cambridge)
Local Limit Theorems for the Random Conductance Model
16:15 – 16:45 Uhr: Kaffee und Tee
16:45 Uhr Martin Slowik (TU Berlin)
Random walks among random conductances as rough paths
Nähere Informationen folgen
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Wegbeschreibungen
zur Anreise an die Uni Mainz finden Sie unter https://www.mathematik.uni-mainz.de/anfahrt/,
zur Anreise an die Uni Frankfurt unter https://www.uni-frankfurt.de/38074653/campus_bockenheim und https://www.uni-frankfurt.de/38093742/Campus_Bockenheim-pdf.pdf,
zur Anreise an die TU Darmstadt unter http://www3.mathematik.tu-darmstadt.de/fb/mathe/wir-ueber-uns/adresse-und-lageplan/anreise.html
Termine in früheren Semestern finden Sie hier.
Last update: 22.05.2019, stochastik@uni-mainz.de