LIMIT THEOREMS FOR SMOLUCHOWSKI DYNAMICS ASSOCIATED WITH CRITICAL CONTINUOUS-STATE BRANCHING PROCESSES

We investigate the well-posedness and asymptotic self-similarity of solutions to a generalized Smoluchowski coagulation equation recently introduced by Bertoin and Le Gall in the context of continuous-state branching theory. In particular, this equation governs the evolution of the Lévy measure of a...

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Veröffentlicht in:	The Annals of applied probability 2015-04, Vol.25 (2), p.675-713
Hauptverfasser:	Iyer, Gautam, Leger, Nicholas, Pego, Robert L.
Format:	Artikel
Sprache:	eng
Schlagworte:	35Q70 60G18 60J80 82C28 Asymptotic methods Bernstein function coagulation Continuous-state branching process critical branching limit theorem Mittag–Leffler series regular variation scaling limit self-similar solution Smoluchowski equation Theorems
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