Upcoming Events
- Wednesday, 11.12.2024, 11:30 (WIAS-405-406)
- Seminar Interacting Random Systems
Leoni Carla Wirth, Georg-August-Universität Göttingen:
Stein's method for spatial random graphs
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Spatial random graphs provide an important framework for the analysis of relations and interactions in networks. In particular, the random geometric graph has been intensively studied and applied in various frameworks like network modeling or percolation theory. In this talk we focus on approximation results for a generalisation of the random geometric graph that consists of vertices given by a Gibbs process and (conditionally) independent edges generated from a connection probability function. We introduce a new graph metric between finite spatial graphs of possibly different sizes that is built on the OSPA metric for point patterns, but penalizes both vertex and edge structures. We develop Stein's method for general integral probability metrics that compare the distributions of spatial random graphs. We then focus on the Wasserstein distance with respect to the new graph metric to obtain improved rates of convergence for a suitable type of convergence in distribution of spatial random graphs. Finally, we give an application of our results to the discretisation of a generalised random geometric graph. Joint work with Dominic Schuhmacher (University of Göttingen).
Host
WIAS Berlin
- Wednesday, 11.12.2024, 15:15 (WIAS-405-406)
- Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Dr. Sebastian Bechtel, Université Paris-Saclay, Frankreich:
What we know about square roots of elliptic systems - and a bit more!
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
In my talk we consider elliptic systems in divergence form, potentially perturbed by a multiplicative perturbation from the left, with measurable, elliptic coefficients. I will first explain why we should care for non-smooth coefficients and why they are difficult to treat. Afterwards, we will turn our focus to elliptic systems that are defined in rough domains and subject to mixed boundary conditions, I will introduce our geometric framework by virtue of examples and present which positive results we can obtain in this scope, both L2 theory and (the optimal range of) Lp theory. Finally, I will conclude with some open questions (and what we expect to obtain for them).
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Host
Humboldt-Universität zu Berlin
WIAS Berlin
- Tuesday, 17.12.2024, 15:00 (WIAS-406)
- Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexey Kroshnin, WIAS Berlin:
On concentration inequalities for unbounded matrix super-martingales
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)
Further Informations
Dieser Vortrag findet auch via Zoom statt: https://zoom.us/j/492088715
Host
WIAS Berlin
- Wednesday, 08.01.2025, 15:15 (WIAS-405-406)
- Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Dr. Joachim Rehberg, WIAS Berlin:
Estimates for operator functions
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
In several branches of mathematics and mathematical physics estimates for operator functions are of high interest. On one hand, this is the case in quantum chemistry, in particular in the analysis of the Kohn--Sham system. Here we present an elementary proof of the Birman--Solomyak theorem - which was an open problem for a long time. The second item of the talk affects operator functions for second order divergence operators. We give an impoved estimate for the angle of the sector which contains the numerical range and draw several consequences of this.
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Host
Humboldt-Universität zu Berlin
WIAS Berlin
- January 13, 2025 (WIAS-Library)
- Workshop/Konferenz: MATh.en.JEANS - Workshop von und für Schüler:innen
more ... Location
Weierstraß-Institut, Hausvogteiplatz 5-7, 10117 Berlin, R411
Host
WIAS Berlin
- Wednesday, 15.01.2025, 10:00 (WIAS-ESH)
- Forschungsseminar Mathematische Statistik
Xiaorui Zuo, National University of Singapore , Singapur:
Cryptos have rough volatility and correlated jumps
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Further Informations
Dieser Vortrag findet hybrid statt. Die Teilnahme per Zoom ist über den (neuen!) Link: https://hu-berlin.zoom-x.de/j/62476510180?pwd=1bws9DORlDM2Iub3ANrb7zzDNANvsJ.1
Host
Humboldt-Universität zu Berlin
Universität Potsdam
WIAS Berlin
- January 29 – 31, 2025 (WIAS-405-406)
- Workshop/Konferenz: Critical behaviour in spatial particle systems
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
