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Vol. 16 No. 1 (2025)
Vol. 16 Núm. 1 (2025): Vol. 16 Núm. 1 (2025): Vol 16, Núm.1 (2025): Enero - Junio

Artículos de investigación / Research papers

Mass function of fractal distribution of matter by excursion set theory

https://doi.org/10.19053/uptc.01217488.v16.n1.2025.18827

Published 2025-04-30

  • Rigoberto A. Casas Miranda

Rigoberto A. Casas Miranda
Universidad Nacional de Colombia

Abstract

With the foundations of Excursion Set Theory, we theoretically develop an expression for the mass function
in a fractal distribution of matter. The power spectrum for a fractal matter distribution is founded by
determining the variance for a distribution of galaxies characterized by mass-radius fractal dimension. The
mass function exhibits a good behavior in comparison with other mass functions reported in the literature,
with a dependence of two parameters, the β parameter of moving barrier and fractal dimension of matter
distribution.

Keywords

Función de masa, teoría excursion set, fractal

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