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math.PR2022★ 4 cited
The genealogy of nearly critical branching processes in varying environment
Florin Boenkost, Félix Foutel-Rodier, Emmanuel Schertzer
Building on the spinal decomposition technique in Foutel-Rodier and Schertzer (2022) we prove a Yaglom limit law for the rescaled size of a nearly critical branching process in var…
math.PR2022★ 1 cited
Convergence of genealogies through spinal decomposition with an application to population genetics
Félix Foutel-Rodier, Emmanuel Schertzer
Consider a branching Markov process with values in some general type space. Conditional on survival up to generation , the genealogy of the extant population defines a random ma…