On the Numerical Study of the Complexity and Fractal Dimension of CMB Anisotropies

Details On the Numerical Study of the Complexity and Fractal Dimension of CMB Anisotropies On the Numerical Study of the Complexity and Fractal Dimension of CMB Anisotropies

1999-10-19

arxiv.org/abs/astro-ph/9910338v1

Intern.Journ.Mod.Phys. D, vol.8, 1999

Astronomy and Astrophysics

Astrophysics

LATEX, 3 figures

Scientific paper

10.1142/S0218271899000298

We consider the problem of numerical computation of the Kolmogorov complexity and the fractal dimension of the anisotropy spots of Cosmic Microwave Background (CMB) radiation. Namely, we describe an algorithm of estimation of the complexity of spots given by certain pixel configuration on a grid and represent the results of computations for a series of structures of different complexity. Thus, we demonstrate the calculability of such an abstract descriptor as the Kolmogorov complexity for CMB digitized maps. The correlation of complexity of the anisotropy spots with their fractal dimension is revealed as well. This technique can be especially important while analyzing the data of the forthcoming space experiments.

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