Palchykov V. Scale-free and small world effects in complex networks

Research object: real world complex networks, spin models on scale-free networks. Purpose of research: calculations of the quantitative characteristics of real world networks, description of the phenomena of phase transition in spin models on networks. Methods of research: method of functional integration, phenomenological and thermodynamic approaches, computer research methods. Research results: structural properties of two kinds of networks have been analyzed, Landau theory of critical phenomena on networks was generalized for the systems with two coupled order parameters. Implementation: publications in scientific journals. Field of use: theory of phase transitions and critical phenomena.