• Continuum mechanics with asymmetric stress field and with dense dislocation distribution;

  • Theoretical modeling and numerical simulations of physical processes in earthquake foci and seismic activity along faults in various time scales (single earthquakes, seismic cycles and long-term activity);

  • Physical interpretation of seismic source parameters (including seismic moment and energy) and statistical relations among them, for natural and induces earthquakes;

  • Stochastic modeling and analysis of macroscopic relations in geophysical phenomena, nonlinear stochastic time series analysis, origins of long-tail distributions and multifractal patterns;

  • Algorithms and methods of computer simulations including time reversal, molecular dynamic and Markov Chain Monte Carlo techniques;

  • Probabilistic inverse theory and its application to seismology;

  • Analysis and modeling of macroscopic properties of geomaterials; porous reservoirs saturated by fluids; multi-phase flows through porous media; influence on microstructure upon the macroscopic relations;

  • Monitoring and analysis of rotational effects generated by earthquakes and icequakes;

  • Theoretical and numerical analysis of earthquake premonitory processes, relations with electric and electromagnetic fields;

  • Cellular automata and other complex system models of geophysical phenomena;

  • Discrete dynamical systems and analysis of their mathematical properties.