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SUMMARY:Nonlocal quadratic forms with visibility constraint (joint work wi
 th Moritz Kassmann) - Vanja Wagner (University of Zagreb)
DTSTART:20220601T120000Z
DTEND:20220601T130000Z
UID:TALK172700@talks.cam.ac.uk
DESCRIPTION:Given a subset $D$ of the Euclidean space\, we study nonlocal 
 quadratic forms that take into account tuples $(x\, y) \\in D \\times D$ i
 f and only if the line segment between $x$ and $y$ is contained in $D$. We
  discuss regularity of the corresponding Dirichlet form leading to the exi
 stence of a pure-jump process with visibility constraint. Our main aim is 
 to investigate corresponding Poincar\\' e inequalities and their scaling p
 roperties. For dumbbell shaped domains we show that the forms satisfy a Po
 incar\\' e inequality with diffusive scaling.
LOCATION:Seminar Room 2\, Newton Institute
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