Abstract

We deduce the most general nonlinear kinetic equation that describes the low-density limit of general Feller processes for systems of random numbers of classical particles with interaction, collisions, fragmentation and coagulation. This is done by studying the limiting (as ! 0) evolution of Feller processes on S 1= 0 X n with X = R d or X = Z d described by generators of the form i1 P K= 0 k B (k) , K 2 N , where B (k) are the generators of k-nary interaction, whose general structure is also described in the paper.

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