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Moments of a Non-homogenous Bivariate Fragmentation Process Using Integral Equations Tools
  • Rafik Aguech,
  • Samia Ilji
Rafik Aguech
KSU
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Samia Ilji
University of Monastir
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Abstract

In this paper we are interested in two-dimensions fragmentation process that describes the evolution of an object having a rectangular shape. We focus on the non-homogenous fragmentation process where we break a rectangle according to a distribution that depends on its dimensions. Via Integral equations tools, we compute the mean and the variance of the distribution of the total number of the sub-rectangles obtained at the end of the process.

Peer review status:IN REVISION

03 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
07 Feb 2020Assigned to Editor
07 Feb 2020Submission Checks Completed
10 Feb 2020Reviewer(s) Assigned
26 Aug 2020Review(s) Completed, Editorial Evaluation Pending
28 Aug 2020Editorial Decision: Revise Major