Discrete Minimizers of Energy Integrals
Offered By: Hausdorff Center for Mathematics via YouTube
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
Related Courses
Survey of Music TechnologyGeorgia Institute of Technology via Coursera Fundamentals of Electrical Engineering Laboratory
Rice University via Coursera Critical Listening for Studio Production
Queen's University Belfast via FutureLearn Fundamentos de Comunicaciones Ópticas
Universitat Politècnica de València via UPV [X] Sense101x: Sense, Control, Act: Measure the Universe, Transform the World
University of Queensland via edX