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UID:20250703T032313EDT-51159Sx5f2@132.216.98.100
DTSTAMP:20250703T072313Z
DESCRIPTION:Title: Moments of the Parabolic Anderson Model with Asymptotica
 lly Singular Noise\n\nAbstract: The Parabolic Anderson Model (PAM) is a st
 ochastic partial differential equation that describes the time-evolution o
 f particle system with the following dynamics: Each particle in the system
  undergoes a diffusion in space\, and as they are moving through space\, t
 he particles can either multiply or get killed at a rate that depends on a
  random environment.\n\nOne of the fundamental problems in the theory of t
 he PAM is to understand its behavior at large times. More specifically\, t
 he solution of the PAM at large times tends to be intermittent\, meaning t
 hat most of the particles concentrate in small regions where the environme
 nt is most favorable for particle multiplication.\n\nIn this talk\, we dis
 cuss a new technique to study intermittency in the PAM with a singular ran
 dom environment. In short\, the technique consists of approximating the si
 ngular PAM with a regularized version that becomes increasingly singular a
 s time goes to infinity. Using this technique\, we improve on several know
 n results and uncover new and unexpected behaviors of the singular PAM.\n
 \nThis talk is based on a joint work in progress with Promit Ghosal and Yu
 chen Liao.\n\nLocation: \n\n(Hybrid) https://mcgill.zoom.us/j/86314328515?
 pwd=WnBuci9qNVNST3l1OTZUaVNTRlQ0UT09\n\nRoom: André Aisenstadt 6214\n
DTSTART:20220421T153000Z
DTEND:20220421T163000Z
SUMMARY:Pierre Yves Gaudreau Lamarre
URL:/mathstat/channels/event/pierre-yves-gaudreau-lama
 rre-339036
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