In this talk, Schwartz will explain the bounds proved by Halpern and Weaver and then show how to improve the lower bound. He will also explain an approach to getting the sharp bound, which amounts to approximating a paper Möbius band by certain kinds of
Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices and even approximation theory, and they give rise to a variety of questions pertaining to analysis, partial differential equations and probability. Sylvia Serfaty
Complex coupled systems arise in medicine, science and engineering. Mathematically, these can be nonlinear coupled systems of PDEs or the nonconvex minimization problems found in deep learning. In this talk, we show how multi-scale approaches give a mathematical technique for accurate and efficient simulation of
An expander graph may be defined in any of several ways: in terms of boundaries of vertex sets, or in terms of eigenvalues of the graph Laplacian, or by random walks
We have three more MATH+ Friday Talks coming up in the current winter semester: 15 January: Harald Helfgott (Göttingen) 22 January: Rolf Krause (Lugano) 05 February: Sylvia Serfaty (Courant Institute, NYU)
Multilevel Strategies for Non-Linear Problems and Machine Learning: On Non-Linear Preconditioning, Multilevel Optimization, and Multilevel Training
In classical mechanics, symmetry occurs for a reason: there is a conserved quantity such as angular momentum. This is Noether’s theorem, and it points to a broader theme in dynamics that symmetry is rare and meaningful. Wilkinson will discuss, in the contexts of modern dynamics
This talk addresses recent research on the modeling and analysis of diffuse-interface tumor growth problems. Elisabetta Rocca is professor at the University of Pavia. From 2013-2016 she had her own research group at WIAS.
The (online-)workshop "Mathematical Analysis for Mechanics — MA4M" will take place within the Thematic Einstein Semester on Energy-based Mathematical Methods for Reactive Multiphase Flows from 23-25 November 2020.
On 06 November 2020, we will hold the second MATH+ Day. Due to COVID19 restrictions the presentations of the research activities in the Cluster of Excellence MATH+ will take place online. With the annual MATH+ Day we want to provide an information and networking opportunity for