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math.PR2024
Power-law scaling of the effective population size in a branching particle system for moderate mutation-selection
Florin Boenkost, Julie Tourniaire
We consider a one-dimensional dyadic branching Brownian motion on with positive drift , branching rate , reflected at and killed at a boundary $L…
math.PR2024
Convergence of spatial branching processes to -stable CSBPs: Genealogy of semi-pushed fronts
Félix Foutel-Rodier, Emmanuel Schertzer, Julie Tourniaire
We consider an inhomogeneous branching diffusion on an unbounded domain of and propose a simple condition under which we expect the size process (i.e., the number of…