Rhein-Main Kolloquium Stochastik
Gemeinsames Kolloquium der Arbeitsgruppen Stochastik Goethe-Universität Frankfurt / Gutenberg-Universität Mainz
Termine im Wintersemester 2011/2012
Freitag, 25.11.2011
Universität Frankfurt, Institut für Mathematik, Robert-Mayer-Str. 10, Raum 711 (groß), 7. Stock
15:15 Uhr: Marie Albenque (École Polytechnique, derzeit TU Berlin): Convergence of stack-triangulations
A stack-triangulation is a triangulation obtained recursively from an initial triangle by additions of vertices and edges. These objects can naturally be endowed with two probability distributions: the uniform law or the "historical" law. I will present in my talk the asymptotic behaviours in these two cases. When properly rescaled, uniform stack-triangulations converge to the continuum random tree of Aldous for the Gromov-Hausdorff topology. On the other hand, under the "historical law" only the local convergence of triangulations is of interest and I will give in this case some results concerning for example the degree of the root.
This is joint work with Jean-François Marckert.
16:45 Uhr: Nicolas Broutin (INRIA Rocquencourt): Cutting down trees, and putting them back together
Freitag, 10.02.2012
Universität Mainz, Institut für Mathematik, Staudingerweg 9, Raum 432 (Hilbertraum), 5. Stock
15:15 Uhr: Patrik Ferrari (Bonn): Interacting particle systems and random matrices
In the last decade non-Gaussian distributions discovered in random matrices (e.g., the Tracy-Widom distributions) were proven to describe limit laws of fluctuations in apparently unrelated probabilistic models belonging to the so-called Kardar-Parisi-Zhang universality class, like the last passage percolation or the asymmetric exclusion process. It is believed that these distributions are universal, that is, they appear independently of the details of the model (under mild assumptions). Similarly, the extension to joint distribution has lead to the discovery of new universal limit processes (e.g., the Airy processes). I will present some of these developments and their connections with random matrices by focusing on the asymmetric exclusion process.
16:45 Uhr: Neil O'Connell (Warwick): Exactly solvable random polymers and their continuum scaling limits
I will describe some recent developments on random polymer models which have an underlying integrable structure which makes them exactly solvable. The continuum scaling limits of these models are related to the KPZ equation and have some remarkable properties. Parts of this talk will be based on joint work with Ivan Corwin, Timo Seppalainen, Jon Warren and Nikos Zygouras.
Wegbeschreibungen
zur Anreise an die Uni Mainz finden Sie unter http://www.mathematik.uni-mainz.de/institut/anfahrtsbeschreibung , zur Anreise an die Uni Frankfurt unter http://www.uni-frankfurt.de/fb/fb12/mathematik/allgemeines/besucher/ .
Termine in früheren Semestern finden Sie hier.
Last update: 06.02.2012, S. Grün, gruen@mathematik.uni-mainz.de
