Open AccessOn mesofractal interpretation of the galaxy spatial arrangement
Author(s) -
В. В. Учайкин,
H. V. Kozhemjakina
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1658/1/012064
Subject(s) - fractal , statistical physics , interpretation (philosophy) , poisson distribution , jump , point process , character (mathematics) , term (time) , point (geometry) , poisson point process , trajectory , mathematics , computer science , physics , statistics , mathematical analysis , geometry , quantum mechanics , astronomy , programming language
The term mesofractal is used here for a system of random points arrangement of which reveals the fractal character on small scales and looks as uniform on large scales. The way of simulation of such systems is based on the random jump process with Lévy-Feldheim stable distributions taken as transition densities, and the Poisson point process for the origin points of the independent trajectory ensemble. Such model successfully represents main statistical properties of the observed part of the universe and may be useful for testing estimation procedures. This article contains also a short discussion of evolution of cell-count data between fractal and uniform domains.