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UID:20260903T204819EDT-5531TluHxE@132.216.98.100
DTSTAMP:20260904T004819Z
DESCRIPTION:Title: Heat kernel estimates for Markov processes with jump ker
 nels blowing-up at the boundary\n\nAbstract: In this talk\, I will present
  some recent results about purely discontinuous symmetric Markov processes
  on closed subsets of ${\mathbb R}^d$\, $d\ge 1$\, with jump kernels of th
 e form $J(x\,y)=|x-y|^{-d-\alpha}{\mathcal B}(x\,y)$\, $\alpha\in (0\,2)$\
 , where the function ${\mathcal B}(x\,y)$ may blow up at the boundary of t
 he state space.\n	We study both conservative Markov processes of this type 
 and critically killed Markov processes of this type. Examples of Markov pr
 ocesses that fall into our general framework include traces of isotropic $
 \alpha$-stable processes in $C^{1\,\rm Dini}$ sets\, processes in Lipschit
 z sets arising in connection with the nonlocal Neumann problem\, and a lar
 ge class of resurrected self-similar processes in the closed upper half-sp
 ace. Our main results are sharp two-sided heat kernel estimates for these 
 Markov processes. This talk is based on joint works with Soobin Cho\, Pank
 i Kim and Zoran Vondracek.\n\nIn person & Zoom\n\nZoom link: https://umont
 real.zoom.us/j/83832644262?pwd=gQDOX4997Yehibng7GjtEKwUhqAqNV.1\n
DTSTART:20260409T153000Z
DTEND:20260409T163000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Renming Song (UIUC)
URL:https://www.mcgill.ca/mathstat/channels/event/renming-song-uiuc-372282
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