Moments of a non-homogenous bivariate fragmentation process using integral equations tools
In this paper, we are interested in two-dimensional fragmentation process that
describes the evolution of an object having a rectangular shape. We focus on a
fragmentation process in which we break a rectangle according to a distribution
that depends on its dimensions.Using the renewal theory,we provide the asymptotic
of the mean and of the variance of the distribution of the total number of
the sub-rectangles.
اسم الناشر
Mathematical Methods in Applied Sciences
رقم المجلد
Early view
الصفحات
1-24
A. Iksanov, W. Jedidi: Functional limit theorems for random Lebesgue-Stieltjes convolutions
Statistics & Probability Letters, Volume 233, 2026,110684.
In this paper we provide some new properties that are complementary to the book
of Schilling-Song-Vondraek
Springer