Talagrand’s quadratic transportation cost inequalities for SPDEs driven by fractional noises with two reflection walls

Using the method of Girsanov’s transformation, we investigate Talagrand’s quadratic transportation cost inequalities for the laws of the solutions of stochastic partial differential equations (SPDEs) with two reflection walls under the uniform norm on the continuous functions space. These equations are driven by fractional noises.

Approximate Controllability of Fully Nonlocal Stochastic Delay Control Problems Driven by Hybrid Noises

In this paper, a class of time-space fractional stochastic delay control problems with fractional noises and Poisson jumps in a bounded domain is considered. The proper function spaces and assumptions are proposed to discuss the existence of mild solutions. In particular, approximate strategy is used to obtain the existence of mild solutions for the problem with linear fractional noises; fixed point theorem is used to achieve the existence of mild solutions for the problem with nonlinear fractional noises. Finally, the approximate controllability of the problems with linear and nonlinear fractional noises is proved by the property of mild solutions.

Flicker-noise. Features, diversity and management

The article refers to the field of research of noise fluctuations or flicker-noises in electronic amplifiers. The variety of flicker-noise in the energy and frequency dimension is shown, that the manifestation of flicker-noise is not limited to ultra-low frequency range, but under certain conditions can extend to medium and high frequencies. Some areas of radio electronics exposed or using flicker-noise properties are illuminated. It is shown that flicker-noises have a limit level of build-up in accordance with the energy and frequency band forming its thermal and fractional noises. It is shown that for electronic amplifiers flicker-noise is impractical to approximate the simplified ratio of 1/f. Methods of elimination or leveling of flicker-noise are given.