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Stochastic coalescence with homogeneous-like interaction rates

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 $\lambda\in\mathbb{R}$, a class of homogeneous (or homogeneous-like) coagulation kernels $K$. We show that such processes exist as strong Markov Feller processes with values in $\ell_\lambda$ , the set of ordered $[0,\infty]$-valued sequences $(m_i )_{i\geq 1}$ such that $\sum_{i\geq 1} m_i^\lambda < \infty$.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00731540
Contributor : Nicolas Fournier <>
Submitted on : Thursday, September 13, 2012 - 9:59:04 AM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

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Nicolas Fournier, Eva Loecherbach. Stochastic coalescence with homogeneous-like interaction rates. Stochastic Processes and their Applications, Elsevier, 2009, 119 (1), pp.167-189. ⟨10.1016/j.spa.2008.01.007⟩. ⟨hal-00731540⟩

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