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Discrete Minimizers of Energy Integrals

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Mathematics Courses Signal Processing Courses Discrete Geometry Courses

Course Description

Overview

Explore the intriguing phenomenon of discrete minimizers in energy integral optimization in this 48-minute lecture by Dmitriy Bilyk from the Hausdorff Center for Mathematics. Delve into the counterintuitive behavior of pairwise interaction energy minimization, where uniform distributions are not always the outcome. Examine cases involving attractive-repulsive energies and weak repulsion, where minimizing measures become discrete or highly non-uniform. Investigate the connections between this phenomenon and various fields, including analysis, signal processing, and discrete geometry.

Syllabus

Dmitriy Bilyk: Discrete minimizers of energy integrals


Taught by

Hausdorff Center for Mathematics

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