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SUMMARY:Dmitriy Bilyk (University of Minnesota)
DTSTART:20230419T160000Z
DTEND:20230419T170000Z
DTSTAMP:20260423T052711Z
UID:HAeS/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/44/">Mi
 nimizers of discrete measures and  energy integrals.</a>\nby Dmitriy Bilyk
  (University of Minnesota) as part of Harmonic analysis e-seminars\n\n\nAb
 stract\nWe shall survey various results and conjectures about  energy mini
 mization problems that arise in different fields: electrostatics\, discret
 e and metric geometry\, discrepancy theory and uniform distribution\, sign
 al processing etc.  While in many natural examples optimizing the energy i
 mposes uniform distribution\, we shall pay special attention to the opposi
 te effect -- when minimizers exhibit clustering or discretization\, or are
  supported on small or lower dimensional subsets. We shall also touch upon
  energies that depend on interactions of three or more particles\, rather 
 than just pairwise interactions\, and describe difficulties that arise in 
 this setting.\n
LOCATION:https://researchseminars.org/talk/HAeS/44/
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