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SUMMARY:The random fractional obstacle problem. [Oberseminar Analysis]
DTSTART:20260521T121500Z
DTEND:20260521T141500Z
DTSTAMP:20260526T042400Z
UID:indico-event-1338@math-events.uni-bonn.de
DESCRIPTION:Speakers: Caterina Zeppieri (Universität Münster)\n\nNonloca
 l energies\, such as fractional Sobolev seminorms\, arise naturally in mat
 hematical models involving long-range interactions. In this talk\, we stud
 y minimizers of such energies that vanish on a collection of small balls w
 ith random centers and radii\, leading to a bilateral (fractional) obstacl
 e problem. I will present a homogenization result that holds under minimal
  assumptions on the distribution and size of the obstacles\, which are gen
 erated by a stationary marked point process. In particular\, the obstacles
  may overlap and form clusters with positive probability\, giving rise to 
 a complex microstructure. Our analysis identifies the limiting energy and 
 shows how it reflects the underlying probability distribution of the obsta
 cles. Joint work with Francesco Deangelis (University of Muenster) and Mat
 teo Focardi (University of Florence).\n\nhttps://math-events.uni-bonn.de/e
 vent/1338/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1338/
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