We demonstrate the reconstruction of constellation diagrams for 40-Gb/s DQPSK and 60-Gb/s 8ary- DPSK signals using orthogonal differential direct-detection and analog-to-digital conversion. The ...

We argue that the Mellin–Barnes representations of Feynman diagrams can be used for obtaining linear systems of homogeneous differential equations for the original Feynman diagrams with arbitrary ...

The differential equation method is applied to evaluate analytically two-loop vertex Feynman diagrams. Three on-shell infrared divergent planar two-loop diagrams with zero thresholds contributing to ...

The Schur functions form a complete system of common eigenfunctions of these differential operators, and their eigenvalues are expressed through the characters of symmetric groups. The structure ...

This study introduces a novel conditional generative model based on stochastic differential equations (SDEs) for synthesizing architectural bubble diagrams that meet specific customer requirements.

We discuss a progress in calculation of Feynman integrals which has been done with help of the Differential Equation Method and demonstrate the results for a class of two-point two-loop diagrams.