The modified perturbation theory for calculation of transition effect in electromagnetic cascades; calculations of images in radiation introscopy; the basis of the stochastical theory of measurements in high-energy transport processes; adjoint equations for various kinds of stochastic importance and methods for their solution; numerical methods of solution of adjont equation by means of spline technique; simulation of fluctuations in multiplicative and cascade processes; the variational sensibility theory; simulations and investigations of stochastic fractals and corresponding transport processes; extended thermodinamics, anomalous diffusion and non-Debay relaxation; Levy-stable and subordinated Levy-stable distributions and processes; fractional differential equations.
Main publications:
V. V. Uchaikin. Anomalous transport equations and their application to fractal walking // Physica A, 255/1–2, 65–92 (1998).
V. V. Uchaikin, V. M. Zolotarev. Chance and Stability. Stable Distributions and their Applications. The Netherlands, Utrecht, VSP, 570 p. (1999).
V. V. Uchaikin. Montroll–Weiss problem, fractional equations and stable distributions // Intern. Journal of Theor. Physics, 39 (2000).
V. V. Uchaikin. Multidimensional symmetric anomalous diffusion // J. Chem. Phys., v. 88, 1141–1155, (2002).
