Nazarenko A. Statistical properties of the systems with strong interaction and the effects of gravity

It is described the liquid-gas phase transition in nuclear matter in the Minkowski and conformal-flat space, in the system of charged pions at different temperature regimes, and in the model of Bose-condensate dark matter of the galactic nucleus. In nuclear collisions, we describe the evolution of free and interacting parton fluxes at the pretermic stage and estimate the probability of manifistation of spatial extra-dimensions at the equilibrium stage of quarks and gluons. We study the thermodynamics of photon radiation at Planck temperatures, the evolution of the geometry of two-dimensional spaces of the genus one and two and the quantum spectra of their characteristics, as well as the properties of extremal black holes and dark matter in the framework of the deformation approach.