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Type: Text × Subject: many-to-few ×

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    Catalytic branching processes via spine techniques and renewal theory
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011) Döring, Leif; Roberts, Matthew I.
    In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (discrete space) partial differential equations for the number of particles in a variation of constants formulation. The long-time behavior is then deduced from renewal theorems and induction.
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    The many-to-few lemma and multiple spines
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011) Harris, Simon S.; Roberts, Matthew I.
    We develop an extension to the spine theory of branching processes, and use it to give a simple and intuitive identity for calculating additive functionals of such processes, generalizing the well-known many-to-one lemma.