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math.PR2024
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…
math.PR2024
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…
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…