Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8330Conference Report, Theses of ReportThe Anisotropy Properties of a Background Radiation in the Fractal Cosmological ModelAgapovA Aagapov.87@mail.ruRozgachevaI KState Pedagogical Universityrozgacheva@yandex.ruPeoples’ Friendship University of RussiaVINITI RAS15012013118118808092016Copyright © 2013,2013We consider the anisotropy properties of a background radiation in the fractal cosmological model. The space of this model includes self-similar domains. The metric tensors of any two domains are connected by the discrete scaling transformation. Photons of the background radiation cross the domain and their energies change. Any observer receives these photons from diﬀerent domains and detects spots with diﬀerent brightness. The power spectrum of the brightness anisotropy of the background radiation in the fractal cosmological model is calculated. It is shown this spectrum is closed to the observed angular power spectrum of the SDSS-quasar distribution on the celestial sphere. Only qualitatively it conforms to the angular power spectrum of CMB (WMAP-7).complex ﬁeldrotary symmetryfractal properties of the large-scale structurefractal cosmological modelbackground radiationкомплексное полевращательная симметрияфрактальные свойства крупномасштабной структурыфрактальная космологическая модельфоновое излучение