Gemeinsames Kolloquium der Arbeitsgruppen Stochastik
TU Darmstadt / Goethe-Universität Frankfurt / Gutenberg-Universität Mainz
Termine im Wintersemester 2019/20
15.11.2019 - JGU Mainz: Amandine Véber (Paris):
Resource sharing with logarithmic weights
Branching Brownian motion with selection and a free boundary problem
06.12.2019 - GU Frankfurt: Simone Warzel (München):
Quantum spin glasses: a mathematical challenge
Abstract:
The theory of classical mean-field spin glasses is a well-established and celebrated field within probability theory.
The addition of a constant perpendicular magnetic field introduces a non-commuting term into the energy of such spin glasses and hence
causes quantum effects. The main aim of this talk is to give an overview over some of the motivations for the study of quantum spin glasses. I will also review some first mathematical results in this field. Among them is a derivation of the key features of the thermal phase diagram of the simplest of all mean-field spin glasses, the quantum random energy model.
A variational characterization of the Sine_ß point process:
Abstract:
The one-dimensional log gas in finite volume is a system of particles interacting via a repulsive logarithmic potential and confined by some external field. When the number of particles goes to infinity, their macroscopic empirical distribution approaches a deterministic limit shape. When zooming in one sees microscopic fluctuations around this limit which are described in the limit by a stationary point process, the Sine_ß process constructed by Valko and Virag. Leblé and Serfaty have established a large deviation principle for the microscopic configurations governed by a rate function which is the sum of a specific entropy and a renormalized interaction energy. Thus the typical microscopic behavior of the gas is described by the minimizers of this free energy functional, one of which is the Sine_ß process. We show that this is indeed the unique minimizer. Our argument is based on optimal transport of random point configurations and exploits strict displacement convexity in the free energy functional.
Joint work with Martin Huesmann and Thomas Leblé
Ort: Goethe-Universität Frankfurt, Campus Bockenheim, Raum 711 (groß), Robert-Mayer-Str. 10, 7. Stock, Frankfurt am Main
31.01.2020 - TU Darmstadt: Sabine Jansen (München) und Dimitris Tsagkarogiannis (l’Aquila)
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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: 08.01.2020, stochastik@uni-mainz.de