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.
W. Jedidi, H. Sendov, Shen Shan: Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures. AIMS Mathematics, 9(5) 11372-11395 (2024).
In this paper we provide some new properties that are complementary to the book
of Schilling-Song-Vondraek
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…