Stochastic coalescence with homogeneous-like interaction rates

Nicolas Fournier and Eva Löcherbach

Stochastic Processes and their Applications, 2009, vol. 119, issue 1, 45-73

Abstract: 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 .

Keywords: Coalescence; Homogeneous; coagulation; kernels; Stochastic; interacting; particle; systems (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304-4149(08)00015-X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:119:y:2009:i:1:p:45-73

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().