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The martingale problem for a measure-valued process with heavy diffusing particles. (English) Zbl 1249.60195

Summary: A mathematical model of the joint motion of diffusing particles with mass, which influences the coefficient of diffusion, is considered. The particles start from a set of points on a line, move independently until the time of collision, and then are stuck with their masses added. It is shown that the measure-valued process describing the given model is the unique solution of the martingale problem in an introduced space of integer-valued measures.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
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