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SUMMARY:Ruiwen Shu (University of Oxford)
DTSTART:20211001T190000Z
DTEND:20211001T200000Z
DTSTAMP:20260423T022632Z
UID:VCU_ALPS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCU_ALPS/7/"
 >From radial symmetry to fractal behavior of aggregation equilibria for re
 pulsive-attractive potentials</a>\nby Ruiwen Shu (University of Oxford) as
  part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\n
 For the interaction energy with repulsive-attractive potentials\, we give 
 generic conditions which guarantee the radial symmetry of the local minimi
 zers in the infinite Wasserstein distance. As a consequence\, we obtain th
 e uniqueness of local minimizers in this topology for a class of interacti
 on potentials. We introduce a novel notion of concavity of the interaction
  potential allowing us to show certain fractal-like behavior of the local 
 minimizers. We provide a family of interaction potentials such that the su
 pport of the associated local minimizers has no isolated points and any su
 perlevel set has no interior points.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/7/
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