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20212025
most citedSpectral analysis and -spine decomposition of inhomogeneous branching Brownian motions. Genealogies in fully pushed fronts

8 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2025

Stochastic neutral fractions and the effective population size

Raphaël Forien, Emmanuel Schertzer, Zsófia Talyigás +1

The dynamics of a general structured population is modelled using a general stochastic differential equation (SDE) with an infinite decomposability property. This property allows t…

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…

math.PR2023★ 8 cited

Spectral analysis and -spine decomposition of inhomogeneous branching Brownian motions. Genealogies in fully pushed fronts

Emmanuel Schertzer, Julie Tourniaire

We consider a system of particles performing a one-dimensional dyadic branching Brownian motion with space-dependent branching rate, negative drift and killed upon reaching $0…

math.PR2021

A branching particle system as a model of semipushed fronts

Julie Tourniaire

We consider a system of particles performing a one-dimensional dyadic branching Brownian motion with space-dependent branching rate, negative drift and killed upon reaching $0…

math.PR2021★ 1 cited

Spreading speed of locally regulated population models in macroscopically heterogeneous environments

Pascal Maillard, Gaël Raoul, Julie Tourniaire

We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale in space and time.…