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UID:20260717T032052EDT-6626OC47ad@132.216.98.100
DTSTAMP:20260717T072052Z
DESCRIPTION:Title: Branching random walk with non-local competition\n\nAbst
 ract: We study the Bolker-Pacala-Dieckmann-Law (BPDL) model of population 
 dynamics in the regime of large population density. The BPDL model is a pa
 rticle system in which particles reproduce\, move randomly in space\, and 
 compete with each other locally. We rigorously prove global survival as we
 ll as a shape theorem describing the asymptotic spread of the population\,
  when the population density is sufficiently large. In contrast to most pr
 evious studies\, we allow the competition kernel to have an arbitrary\, ev
 en infinite range\, whence the term non-local competition. This makes the 
 particle system non-monotone and of infinite-range dependence\, meaning th
 at the usual comparison arguments break down and have to be replaced by a 
 more hands-on approach. Some ideas in the proof are inspired by works on t
 he non-local Fisher-KPP equation\, but the stochasticity of the model crea
 tes new difficulties.\n\nLocation: \n\n(Hybrid) https://mcgill.zoom.us/j/8
 6314328515?pwd=WnBuci9qNVNST3l1OTZUaVNTRlQ0UT09\n\nRoom: André Aisenstadt 
 6214\n
DTSTART:20220407T153000Z
DTEND:20220407T163000Z
SUMMARY:Pascal Maillard (Toulouse)
URL:https://www.mcgill.ca/mathstat/channels/event/pascal-maillard-toulouse-
 338864
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