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SUMMARY:Xukai Yan (Oklahoma State University)
DTSTART:20210226T210000Z
DTEND:20210226T220000Z
DTSTAMP:20260423T004642Z
UID:VCU_ALPS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCU_ALPS/1/"
 >Sharp stability for the interaction energy</a>\nby Xukai Yan (Oklahoma St
 ate University) as part of VCU ALPS (Analysis\, Logic\, and Physics Semina
 r)\n\n\nAbstract\nFor a nonnegative density f and radially decreasing inte
 raction potential W\,  the interaction energy is given by E[f]= \\int f(x)
 f(y)W(x-y) dxdy. The celebrated Riesz rearrangement  inequality says that 
 the interaction energy satisfies E[f] \\le E[f^*]\, where f^* is the radia
 lly decreasing rearrangement of f. In this talk\, I will discuss the quant
 itative estimate of this inequality. I will first make an introduction abo
 ut the problem and describe some previous results about the stability esti
 mate  for characteristic functions. I will then present a recent work with
  Yao Yao\, where we establish the stability estimate for general densities
 .\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/1/
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