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math.PR2025
Decompositions of CSBPs via Poissonian Intertwining
Clément Foucart, Olivier Hénard
We revisit certain decompositions of continuous-state branching processes (CSBPs), commonly referred to as skeletal decompositions, through the lens of intertwining of semi-groups.…
math.PR2011★ 2 cited
A Williams' Decomposition for Spatially Dependent Superprocesses
Jean-Francois Delmas, Olivier Hénard
We present a genealogy for superprocesses with a non-homogeneous quadratic branching mechanism, relying on a weighted version of the superprocess and a Girsanov theorem. We then de…