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Stochastic coalescence with homogeneous-like interaction rates

Author

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  • Fournier, Nicolas
  • Löcherbach, Eva

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 .

Suggested Citation

  • Fournier, Nicolas & Löcherbach, Eva, 2009. "Stochastic coalescence with homogeneous-like interaction rates," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 45-73, January.
    • Handle: RePEc:eee:spapps:v:119:y:2009:i:1:p:45-73
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    Cited by:

    1. Cepeda, Eduardo & Fournier, Nicolas, 2011. "Smoluchowski's equation: Rate of convergence of the Marcus-Lushnikov process," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1411-1444, June.
    2. Cepeda, Eduardo, 2016. "Stochastic coalescence multi-fragmentation processes," Stochastic Processes and their Applications, Elsevier, vol. 126(2), pages 360-391.

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