Moments of a Non-homogenous Bivariate Fragmentation Process Using
Integral Equations Tools
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.03 Feb 2020Submitted to Mathematical Methods in the Applied Sciences 07 Feb 2020Submission Checks Completed
07 Feb 2020Assigned to Editor
10 Feb 2020Reviewer(s) Assigned
26 Aug 2020Review(s) Completed, Editorial Evaluation Pending
28 Aug 2020Editorial Decision: Revise Major
26 Nov 20201st Revision Received
27 Nov 2020Submission Checks Completed
27 Nov 2020Assigned to Editor
27 Nov 2020Reviewer(s) Assigned
15 Dec 2020Review(s) Completed, Editorial Evaluation Pending
