On two fragmentation schemes with algebraic splitting probability

• Autorzy: M. Ghorbel , T. Huillet
• Języki publikacji: EN

Abstrakty

EN

Consider the following inhomogeneous fragmentation model: suppose an initial particle with mass x₀ ∈ (0,1) undergoes splitting into b > 1 fragments of random sizes with some size-dependent probability p(x₀). With probability 1-p(x₀), this particle is left unchanged forever. Iterate the splitting procedure on each sub-fragment if any, independently. Two cases are considered: the stable and unstable case with $p(x₀) = x₀^{a}$ and $p(x₀) = 1-x₀^{a}$ respectively, for some a > 0. In the first (resp. second) case, since smaller fragments split with smaller (resp. larger) probability, one suspects some stabilization (resp. instability) of the fragmentation process. Some statistical features are studied in each case, chiefly fragment size distribution, partition function, and the structure of the underlying random fragmentation tree.

Kategorie tematyczne

• 62E15: Exact distribution theory
• 60K99: None of the above, but in this section
• 62E17: Approximations to distributions (nonasymptotic)
• 60G57: Random measures
• 62E20: Asymptotic distribution theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2006
• Tom: 33
• Numer: 1
• Strony: 95-110

Daty

wydano

2006

Twórcy

autor

M. Ghorbel

• Laboratoire de Physique Théorique et Modélisation, CNRS-UMR 8089 et Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95032 Cergy-Pontoise, France
• Laboratoire d' Analyse, Géometrie et Applications, CNRS-UMR 7539, Institut Galilée, Université de Paris 13, 93340 Villetaneuse, France

autor

T. Huillet

• Laboratoire de Physique Théorique et Modélisation, CNRS-UMR 8089 et Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95032 Cergy-Pontoise, France

Identyfikatory

DOI

10.4064/am33-1-8