4 citations · 8 across the 13 of their papers we have counts for
11 papers · 1 filter
Non-linear branching processes and Crump-Mode-Jagers processes with interaction
Félix Foutel-Rodier, Emmanuel Schertzer
We consider a class of Crump-Mode-Jagers processes with interaction, constructed by removing a newly born offspring with a probability that depends on the age structure of the popu…
Moments of density-dependent branching processes and their genealogy
Mathilde André, Félix Foutel-Rodier, Emmanuel Schertzer
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can…
A moment approach for the convergence of spatial branching processes to the Continuum Random Tree
Félix Foutel-Rodier
We consider a general class of branching processes in discrete time, where particles have types belonging to a Polish space and reproduce independently according to their type. If…
Vague convergence and method of moments for random metric measure spaces
Félix Foutel-Rodier
We introduce a notion of vague convergence for random marked metric measure spaces. Our main result shows that convergence of the moments of order of a random marked metr…
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…
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…
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…
General epidemiological models: Law of large numbers and contact tracing
Jean-Jil Duchamps, Félix Foutel-Rodier, Emmanuel Schertzer
We study a class of individual-based, fixed-population size epidemic models under general assumptions, e.g., heterogeneous contact rates encapsulating changes in behavior and/or en…
Kingman's coalescent with erosion
Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer
Consider the Markov process taking values in the partitions of N such that each pair of blocks merges at rate one, and each integer is eroded, i.e., becomes a singleton block, at r…
The Moran forest
François Bienvenu, Jean-Jil Duchamps, Félix Foutel-Rodier
Starting from any graph on , consider the Markov chain where at each time-step a uniformly chosen vertex is disconnected from all of its neighbors and reconnected…
Exchangeable coalescents, ultrametric spaces, nested interval-partitions: A unifying approach
Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer
Kingman (1978)'s representation theorem states that any exchangeable partition of can be represented as a paintbox based on a random mass-partition. Similarly, any exc…