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2015 A stochastic particles model of fragmentation process with shattering
Radosław Wieczorek
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Electron. J. Probab. 20: 1-17 (2015). DOI: 10.1214/EJP.v20-4060

Abstract

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.

Citation

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Radosław Wieczorek. "A stochastic particles model of fragmentation process with shattering." Electron. J. Probab. 20 1 - 17, 2015. https://doi.org/10.1214/EJP.v20-4060

Information

Accepted: 26 August 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1328.60222
MathSciNet: MR3391869
Digital Object Identifier: 10.1214/EJP.v20-4060

Subjects:
Primary: 60J35
Secondary: 60J80 , 70F45

Keywords: fragmentation , loss of mass , Martingale problem , Shattering , Stochastic particle systems

Vol.20 • 2015
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