A stochastic particle model for fragmentation process is considered. Evolution of the system of particles is described by a stochastic process on a space of discrete measures on a Polish space. A phenomenon of shattering into dust is studied and some criteria for mass conservation and loss of mass in our model are proven.
"A stochastic particles model of fragmentation process with shattering." Electron. J. Probab. 20 1 - 17, 2015. https://doi.org/10.1214/EJP.v20-4060