The genealogy of nearly critical branching processes in varying environment

F Boenkost, F Foutel-Rodier, E Schertzer - arXiv preprint arXiv:2207.11612, 2022 - arxiv.org
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 …

[HTML][HTML] Duality and the well-posedness of a martingale problem

A Depperschmidt, A Greven, P Pfaffelhuber - Theoretical Population …, 2024 - Elsevier
For two Polish state spaces EX and EY, and an operator GX, we obtain existence and
uniqueness of a G X-martingale problem provided there is a bounded continuous duality …