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SUMMARY:Minimizing interacting energies - José Antonio Carrillo\, Imperia
 l College London
DTSTART:20150209T150000Z
DTEND:20150209T160000Z
UID:TALK57756@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:I will start by reviewing some recent results on qualitative p
 roperties of local minimizers of the interaction energie to motivate the m
 ain topic of my talk: to discuss global minimizers. We will show the exist
 ence of compactly supported global miminizers under quite mild assumptions
  on the potential in the complementary set of classical H-stability in sta
 tistical mechanics. A strong connection with the classical obstacle proble
 m appears very useful when the singularity is strong enough at zero. An ap
 proach from discrete to continuum is also quite nice under convexity assum
 ptions on the potential. This is based on three preprints: one together wi
 th F. Patacchini\, J.A. Cañiizo\, another one with M. Delgadino and A. Me
 llet\, and finally with M. Chipot and Y. Huang.
LOCATION:CMS\, MR13
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