Termine Angewandte Mathematik Münster

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Frank Wübbeling

1. Termin: 04.12.2023 13:00:00 - 04.12.2023 14:00:00: Inflammation & Imaging Flashlight talks

Monday, 04.12.2023 01:00 im Raum Multiscale Imaging Centre (auditorium), Röntgenstraße 16, 48149 Münster and online

Mathematik und Informatik


Angelegt am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
Geändert am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
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Exzellenzcluster Cells in Motion
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Besprechungsraum

Christian Engwer (Uni Münster): DUNE -- a C++ toolbox for grid-based numerical methods

Wednesday, 06.12.2023 14:15 im Raum M5

Mathematik und Informatik

DUNE, the Distributed and Unified Numerics Environment, offers a rich body of functionality to implement all kinds of numerical methods to solve partial differential equations. A particular feature of DUNE are the well designed interfaces, which allow a clear separation between algorithm and data-structures. We introduce into the concepts of DUNE, discuss some of the interfaces and present examples.



Angelegt am Wednesday, 16.08.2023 16:49 von Besprechungsraum
Geändert am Monday, 06.11.2023 22:05 von Stephan Rave
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Oberseminar Numerik
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Anita Kollwitz

Michael Voit, TU Dortmund: Freezing Limits for Calogero-Moser-Sutherland particle models (Oberseminar Mathematische Stochastik)

Wednesday, 13.12.2023 14:00 im Raum SRZ 216

Mathematik und Informatik

One-dimensional Calogero-Moser-Sutherland particle models with N particles can be regarded as diffusions on suitable subsets of $\mathbb R^N$ like Weyl chambers and alcoves with second order differential operators as generators which are singular on the boundaries of the state spaces. The most relevant examples are multivariate Bessel processes and Heckman-Opdam processes which are related to special functions associated with root systems. These models include Dyson's Brownian motions and multivariate Jacobi processes and, for fixed times, $\beta$-Hermite, Laguerre, and Jacobi ensembles. The processes depend on parameters which have the interpretation of an inverse temperature. We review several freezing limits for fixed N when one or several parameters tend to $\infty$. Usually, the limits are normal distributions and, in the process case, Gaussian processes where the parameters of the limit distributions are described in terms of solutions of ordinary differential equations which appear as frozen versions of the particle diffusions. We also discuss connections of these ODEs with the zeros of the classical orthogonal polynomials and polynomial solutions of some associated one-dimensional inverse heat equations.



Angelegt am Tuesday, 19.09.2023 09:25 von Anita Kollwitz
Geändert am Friday, 01.12.2023 11:58 von Anita Kollwitz
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Stochastik
Oberseminare und sonstige Vorträge
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Besprechungsraum

Fabian Bremer (Uni Münster): Explicit Construction of Deep Neural Networks

Wednesday, 13.12.2023 14:15 im Raum M5

Mathematik und Informatik

While attention for and usage of Deep Neural Network (DNN) based applications skyrocket, the mathematical understanding of their behavior and capabilities is still in its infancy. Contrary to traditional approaches, that depend on training by loss minimization algorithms, a method will be presented to explicitly construct DNNs that emulate multivariate Chebyshev polynomials and can be used to approximate a large class of functions. The theory of this method, it's accuracy and it's bounds on depth and size will be introduced as well as an implementation and comparison to training-based DNNs.



Angelegt am Wednesday, 16.08.2023 16:49 von Besprechungsraum
Geändert am Monday, 06.11.2023 16:39 von Stephan Rave
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Oberseminar Numerik
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Frank Wübbeling

1. Termin: 14.12.2023 12:00:00 - 14.12.2023 13:00:00: Brown-Bag Lunch interdisciplinary biomedical research

Thursday, 14.12.2023 01:00 im Raum University Hospital (central clinic), level 05 East, conference room 403

Mathematik und Informatik


Angelegt am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
Geändert am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
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Exzellenzcluster Cells in Motion
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Anita Kollwitz

Moritz Otto, Aarhus Univ.: Compound Poisson process approximation and minimal angles in Delaunay triangles (Oberseminar Mathematische Stochastik)

Wednesday, 15.11.2023 14:00 im Raum SRZ 216

Mathematik und Informatik

I will discuss (compound) Poisson process approximation for stabilizing statistics of a stationary strongly mixing point process. The main results are formulated in a Wasserstein distance and are based on a general bound on the total variation distance of a stationary point process and its Palm measure. The new findings are applied to minimal angles in the stationary Poisson-Delaunay triangulation. In this example, the asymptotic cluster size distribution is explicit and compound Poisson process approximation is established with an explicit convergence rate. The talk is based on joint work with Nicolas Chenavier.



Angelegt am Monday, 18.09.2023 16:01 von Anita Kollwitz
Geändert am Monday, 06.11.2023 11:28 von Anita Kollwitz
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Stochastik
Oberseminare und sonstige Vorträge
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Frank Wübbeling

1. Termin: 18.12.2023 13:00:00 - 18.12.2023 14:00:00: Invited talk

Monday, 18.12.2023 01:00 im Raum Multiscale Imaging Centre (auditorium), Röntgenstraße 16, 48149 Münster and online

Mathematik und Informatik


Angelegt am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
Geändert am Tuesday, 11.07.2023 05:40 von Frank Wübbeling
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Exzellenzcluster Cells in Motion
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Anita Kollwitz

Franco Severo, ETH Zürich: t.b.a. (Oberseminar Mathematische Stochastik)

Wednesday, 10.01.2024 14:00 im Raum SRZ 216

Mathematik und Informatik



Angelegt am Thursday, 26.10.2023 12:01 von Anita Kollwitz
Geändert am Thursday, 26.10.2023 12:01 von Anita Kollwitz
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Oberseminare und sonstige Vorträge
Stochastik