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 …
prove a Yaglom limit law for the rescaled size of a nearly critical branching process in …
Random trees with local catastrophes: the Brownian case
We introduce and study a model of plane random trees generalizing the famous Bienaym\'e--
Galton--Watson model but where births and deaths are locally correlated. More precisely …
Galton--Watson model but where births and deaths are locally correlated. More precisely …
Scaling limit of trees with vertices of fixed degrees and heights
A Blanc-Renaudie, E Kammerer - arXiv preprint arXiv:2409.12897, 2024 - arxiv.org
We consider large uniform random trees where we fix for each vertex its degree and height.
We prove, under natural conditions of convergence for the profile, that those trees properly …
We prove, under natural conditions of convergence for the profile, that those trees properly …