Konarovskii, V. V. The martingale problem for a measure-valued process with heavy diffusing particles. (English) Zbl 1249.60195 Theory Stoch. Process. 17, No. 1, 50-60 (2011). 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 Keywords:measure-valued process; martingale problem; heavy diffusing particles; generator; Markov process PDFBibTeX XMLCite \textit{V. V. Konarovskii}, Theory Stoch. Process. 17, No. 1, 50--60 (2011; Zbl 1249.60195)