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Additional aspects of the non-conservative Kolmogorov–Filippov fragmentation model

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  • Ghorbel, M.
  • Huillet, T.

Abstract

A particular instance of the Kolmogorov–Filippov fragmentation process in continuous times is revisited. Focus is on the non-conservative version of this model when both stable and unstable fragments coexist at all times. Asymptotic fragment size distributions are discussed using large-time behaviors of the partition functions of mass.

Suggested Citation

  • Ghorbel, M. & Huillet, T., 2007. "Additional aspects of the non-conservative Kolmogorov–Filippov fragmentation model," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1569-1583.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1569-1583
    DOI: 10.1016/j.chaos.2006.03.022
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    References listed on IDEAS

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    1. Brennan, Michael D., 1986. "Length laws for random subdivision of longest intervals," Stochastic Processes and their Applications, Elsevier, vol. 22(1), pages 17-26, May.
    2. Liu, Quansheng, 2000. "On generalized multiplicative cascades," Stochastic Processes and their Applications, Elsevier, vol. 86(2), pages 263-286, April.
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