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SUMMARY:Thomas Tendron (University of Oxford)
DTSTART:20230126T160000Z
DTEND:20230126T164000Z
DTSTAMP:20260423T021750Z
UID:QARF/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QARF/5/">A c
 entral limit theorem for a spatial logistic branching process in the slow 
 coalescence regime</a>\nby Thomas Tendron (University of Oxford) as part o
 f Quebec Analysis and Related Fields Graduate Seminar\n\n\nAbstract\nWe st
 udy the scaling limits of a spatial population dynamics model which descri
 bes the sizes of colonies located on the integer lattice\, and allows for 
 branching\, coalescence in the form of local pairwise competition\, and mi
 gration. When started near the local equilibrium\, the rates of branching 
 and coalescence in the particle system are both linear in the local popula
 tion size - we say that the coalescence is slow. We identify a rescaling o
 f the equilibrium fluctuations process under which it converges to an infi
 nite dimensional Ornstein-Uhlenbeck process with alpha-stable driving nois
 e if the offspring distribution lies in the domain of attraction of an alp
 ha-stable law with alpha between one and two.\n
LOCATION:https://researchseminars.org/talk/QARF/5/
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