Transition probability calculations of strong field particle processes in the Furry picture typically use fermion Volkov solutions. These solutions have a relatively complicated spinor due to the interaction of the electron spin with a strong external field, which in turn leads to unwieldy trace calculations. The simplification of these calculations would aid theoretical studies of strong field...

The MPEG bit-rate transcoder with motion compensation, MC-BRT, that exactly derives from a simplified synchronized decoder/encoder cascade, is considered. Such a transcoder is cost effective but lacks features such as spatial and temporal filtering. These features are known to improve the encoder performance at low bit-rates. Such features would be highly desirable in the MC-BRT since most appl...

Vertex-reinforced random walk (VRRW), defined by Pemantle in 1988, is a random process that takes values in the vertex set of a graph G, which is more likely to visit vertices it has visited before. Pemantle and Volkov considered the case when the underlying graph is the one-dimensional integer lattice Z. They proved that the range is almost surely finite and that with positive probability the ...

This paper describes the Duluth systems that participated in SemEval-2017 Task 7 : Detection and Interpretation of English Puns. The Duluth systems participated in all three subtasks, and relied on methods that included word sense disambiguation and measures of semantic relatedness.

We consider the Dirac equation with two different four-potentials of the plane electromagnetic waves. We derive the partial differential equation for the wave function, which is generalized form of the Volkov equation. We find the solutions of the Dirac equation for two orthogonal plane waves. We determine the modified Compton formula for the scattering of two photons on an electron.

Volodymyr P. Kravchuk, 2, ∗ Denis D. Sheka, Attila Kákay, Oleksii M. Volkov, Ulrich K. Rößler, Jeroen van den Brink, 5 Denys Makarov, and Yuri Gaididei Bogolyubov Institute for Theoretical Physics of National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine Leibniz-Institut für Festkörperund Werkstoffforschung, IFW Dresden, D-01171 Dresden, Germany Taras Shevchenko National University of Kyi...