Stochastic coalescence with homogeneous-like interaction rates

We study infinite systems of particles characterized by their masses. Each pair of particles with masses x and y coalesces at a given rate K(x,y). We consider, for each , a class of homogeneous (or homogeneous-like) coagulation kernels K. We show that such processes exist as strong Markov-Feller processes with values in l[lambda], the set of ordered [0,[infinity]]-valued sequences (mi)i>=1 such that .

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Year of publication:	2009
Authors:	Fournier, Nicolas ; Löcherbach, Eva
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 1, p. 45-73
Publisher:	Elsevier
Keywords:	Coalescence Homogeneous coagulation kernels Stochastic interacting particle systems

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008875233