BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250803T191503EDT-5037WhU69I@132.216.98.100 DTSTAMP:20250803T231503Z 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:/mathstat/channels/event/pascal-maillard-toulouse- 338864 END:VEVENT END:VCALENDAR