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UID:20250810T024432EDT-5110naAKsu@132.216.98.100
DTSTAMP:20250810T064432Z
DESCRIPTION:Title: Hit and miss with the (α\,β)-superprocess\n\nAbstract:  
 The (α\,β)-superprocess is a spatial branching model associated to an α-st
 able spatial motion and a (1+β)-stable branching mechanism. It is a measur
 e-valued Markov process. In this talk we consider the random density in th
 e absolutely continuous regime. After introducing this process and some cl
 assical results\, I will discuss some newly proven path properties of the 
 density. These include (i) strict positivity of the density at a fixed tim
 e (for certain parameters) and (ii) a classification of the measures which
  the density charges almost surely when conditioned on survival. The duali
 ty between the superprocess and a fractional parabolic PDE is central to o
 ur method\, and I will discuss how the probabilistic statements above corr
 espond to new results about singular solutions to the PDE.\n\nLink: https:
 //mcgill.zoom.us/j/97093259428?pwd=d25yR0J6WGViSzFZOE5rT01YZnBJQT09\n\nMee
 ting ID: 970 9325 9428\n\nPasscode: problab\n
DTSTART:20200923T150000Z
DTEND:20200923T160000Z
SUMMARY:Thomas Hughes (9IÖÆ×÷³§Ãâ·Ñ) 
URL:/mathstat/channels/event/thomas-hughes-mcgill-3246
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