My research interests are changing with time. This page may not possibly be up-to-date. Primarily I am interested in the theory of quantum and classical fluctuations in systems far from thermal equilibrium, nonlinear nano/micro/opto-mechanical vibrational systems and optical/microwave cavity modes, rare events in quantum and classical systems, quantum computing, and many-electron transport in 2D systems. In my group we are using various analytical methods of many-body physics, nonlinear dynamics, and quantum statistical physics. We also run simulations, but this is not the major tool. We are collaborating with several theoretical and experimental groups in the US and abroad.