Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions

This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way. After this, we use the limiting equation, which is an ordinary differential equation, to approximate the solution of the stochastic fractional-space diffusion equation. This equation has never been studied before using a combination of additive noise and fractional-space, therefore we generalize some previously obtained results as special cases. Furthermore, we use Fisher’s and Ginzburg–Landau equations to illustrate our results. Finally, we look at how additive noise affects the stabilization of the solutions.

Occupational pathology in the Chukotka and Nenets Autonomous Okrugs: risks, structure, prevalence

Introduction. Labor activity in the Arctic creates an increased risk of developing occupational diseases. In the Chukotka Autonomous Okrug (CHAO), the basis of the economy is the extraction of coal, placer and ore gold, and other non-ferrous metals, and in the Nenets Autonomous Okrug (NAO) - the extraction of oil and natural gas. The study aims to learn the risks of development, structure, and prevalence of occupational pathology among employees of enterprises in the Chukotka and Nenets Autonomous Okrugs. Materials and methods. Scientists studied the results of social and hygienic monitoring under the section "Working conditions and occupational morbidity" in the CHAO and NAO in 2008-2019. Results. In the NAO, almost two-thirds of employees work at facilities with good sanitary and epidemiological well-being indicators, while in the PRAO, only 12%. In the NAO, almost all occupational diseases (96.8%) resulted from exposure to industrial noise (noise effects of the inner ear), mainly in civil aviation pilots. In the CHAO, occupational diseases mainly developed in miners of mining enterprises (80.6%), among which the most common were noise effects of the inner ear (32.5%), chronic bronchitis (24.1%), mono- and polyneuropathies (12.7%). In contrast to the NAO, in 2008-2019, the level of occupational morbidity in the PRAO exceeded all-Russian indicators and tended to increase. The risk of diseases in 2017-2019 was higher than in 2008-2010: RR=2.51; CI 1.62-3.89, p<0.001. In 2008-2019 the probability of the formation of occupational pathology among employees of enterprises in the CHAO was higher than in the NAO: RR=3.84; CI 2.92-5.06, p<0.001. Conclusion. To reduce the occupational morbidity of miners of the CHAO, it is necessary to improve personal protective equipment and technological equipment to reduce noise levels, vibration, the concentration of aerosols of predominantly fibrogenic action, and the severity of the labor process. The use of aviation headsets with an increased level of noise reduction will help reduce the exposure of workers to noise. For solving this problem, it is necessary to update the flight fleet of civil aviation in NAO.

Surveying on MIMO Technology for Future Wireless Communication

Massive MIMO is an extension of traditional MIMO with the exception that the BSs in massive MIMO are equipped with large number of antennas, usually hundred or more. This large number of antennas provide several positive advantages towards wireless communication with respect to increasing volume of data traffic. Each antenna is capable of serving multiple users simultaneously leading to reduction in power consumption as well as data rate amplification. Additionally, narrow and more focused beams are pointed to individual user devices located at the cell edge thereby upgrading of downlink signal quality. Using massive MIMO technique also increases reliability of the links, reduces noise effects, and mitigates and interference. With increasing number of users gets service, the throughput of the system also increases.

Engineering Classical Capacity of Generalized Pauli Channels with Admissible Memory Kernels

In this paper, we analyze the classical capacity of the generalized Pauli channels generated via memory kernel master equations. For suitable engineering of the kernel parameters, evolution with non-local noise effects can produce dynamical maps with a higher capacity than a purely Markovian evolution. We provide instructive examples for qubit and qutrit evolution. Interestingly, similar behavior is not observed when analyzing time-local master equations.

Approximation of SDEs: a stochastic sewing approach

We give a new take on the error analysis of approximations of stochastic differential equations (SDEs), utilizing and developing the stochastic sewing lemma of Lê (Electron J Probab 25:55, 2020. 10.1214/20-EJP442). This approach allows one to exploit regularization by noise effects in obtaining convergence rates. In our first application we show convergence (to our knowledge for the first time) of the Euler–Maruyama scheme for SDEs driven by fractional Brownian motions with non-regular drift. When the Hurst parameter is $$H\in (0,1)$$ H ∈ ( 0 , 1 ) and the drift is $$\mathcal {C}^\alpha $$ C α , $$\alpha \in [0,1]$$ α ∈ [ 0 , 1 ] and $$\alpha >1-1/(2H)$$ α > 1 - 1 / ( 2 H ) , we show the strong $$L_p$$ L p and almost sure rates of convergence to be $$((1/2+\alpha H)\wedge 1) -\varepsilon $$ ( ( 1 / 2 + α H ) ∧ 1 ) - ε , for any $$\varepsilon >0$$ ε > 0 . Our conditions on the regularity of the drift are optimal in the sense that they coincide with the conditions needed for the strong uniqueness of solutions from Catellier and Gubinelli (Stoch Process Appl 126(8):2323–2366, 2016. 10.1016/j.spa.2016.02.002). In a second application we consider the approximation of SDEs driven by multiplicative standard Brownian noise where we derive the almost optimal rate of convergence $$1/2-\varepsilon $$ 1 / 2 - ε of the Euler–Maruyama scheme for $$\mathcal {C}^\alpha $$ C α drift, for any $$\varepsilon ,\alpha >0$$ ε , α > 0 .