Piezophotoresistive Qualities Of р-TlInSe2 Monocrystals

The effect of uniaxial unalloyed deformation, temperature and optical lighting on tenzoresistive properties of p- TllnSe2 monocrystals is investigated. It is shown that with temperature increase sensitivity to TllnSe2 of unalloyed crystals toward deformation increases considerably, coefficient of tenzosensetivity at the same time increases linearly with temperature

A note on q-Gaussians and non-Gaussians in statistical mechanics

The sum of $N$ sufficiently strongly correlated random variables will not in general be Gaussian distributed in the limit N\to\infty. We revisit examples of sums x that have recently been put forward as instances of variables obeying a q-Gaussian law, that is, one of type (cst)\times[1-(1-q)x^2]^{1/(1-q)}. We show by explicit calculation that the probability distributions in the examples are actually analytically different from q-Gaussians, in spite of numerically resembling them very closely. Although q-Gaussians exhibit many interesting properties, the examples investigated do not support the idea that they play a special role as limit distributions of correlated sums.Comment: 17 pages including 3 figures. Introduction and references expande

Compacton matter waves in binary Bose gases under strong nonlinear management

The existence of compacton matter waves in binary mixtures of quasi one-dimensional Bose-Einstein condensates in deep optical lattices and in the presence of nonlinearity management, is first demonstrated. For this, we derive an averaged vector discrete nonlinear Schr\"odinger equation (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system and their dependence on the inter- and intra-species scattering lengths, investigated. We show that under proper management conditions, compactons can be very robust excitations that can emerge spontaneously from generic initial conditions. A possible experimental setting for compacton observation is also discussed.Comment: 11 pages, 11 figures, Physical Review A in pres

Note on a q-modified central limit theorem

A q-modified version of the central limit theorem due to Umarov et al. affirms that q-Gaussians are attractors under addition and rescaling of certain classes of strongly correlated random variables. The proof of this theorem rests on a nonlinear q-modified Fourier transform. By exhibiting an invariance property we show that this Fourier transform does not have an inverse. As a consequence, the theorem falls short of achieving its stated goal.Comment: 10 pages, no figure

Prospects of Development of the Metaverse: Empirical Evidence

The purpose of the research is to analyze the key features of the metaverse, the possibilities and advantages of its tools, security issues and the format of user participation in the metaverse virtual space. The relevance of the study is caused by the changes in the global economic order and the metaverse technologies awareness from both the expert community and ordinary users. The authors use methods of comparative analysis of Russian and foreign scientific sources, as well as statistical analysis and forecasting from leading consulting, rating and analytical agencies (Gartner, Statista, Emergenresearch, Moscow Innovation Agency, World Economic Forum, Tadviser). The scope of the achieved results is determined by the possibility of using the practical part of the study in building scenarios for the metaverse technologies application by various stakeholders. The authors draw conclusion that there is a wide range of use of the metaverse tools in various felds of human activity (professional, educational, social, entertainment, etc.), as well as about stimulating the development of the digital market using metaverse technologies. The prospects of non-interchangeable tokens, one of the innovative tools of the metaverse, are discussed and the audience growth rate of the metaverse innovative technologies potential consumers in the future is predicted

Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos

We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Central Limit Theorem (CLT) is expected to be valid, but at the edge of chaos where iterates have strong correlations, the standard CLT is not necessarily to be valid anymore. We discuss here the main characteristics of the central limit behavior of deterministic dynamical systems which exhibit quasi-periodic route to chaos. At the golden-mean onset of chaos for the sine-circle map, we numerically verify that the probability density appears to converge to a q-Gaussian with q<1 as the golden mean value is approached.Comment: 7 pages, 7 figures, 1 tabl

ЭФФЕКТИВНОЕ ИСПОЛЬЗОВАНИЕ ИНФОРМАЦИОННЫХ СИСТЕМ В ГАЗОТРАНСПОРТНОЙ ИНФРАСТРУКТУРЕ РЕСПУБЛИКИ УЗБЕКИСТАН

Present article is devoted questions of optimization of maintenance by natural gas of industrial production in Republic Uzbekistan, to a place and a role of the information systems in maintenance with natural gas of the population of the country and efficiency of functioning of gas-transport branch in the country as a whole.Настоящая статья посвящена вопросам оптимизации обеспечения природным газом промышленного производства в Республике Узбекистан, месту и роли информационных систем в обеспечении природным газом населения страны и эффективности функционирования газотранспортной отрасли в стране в целом

Distributed Order Derivatives and Relaxation Patterns

We consider equations of the form $(D_{(\rho)}u)(t)=-\lambda u(t)$, $t>0$, where $\lambda >0$, $D_{(\rho)}$ is a distributed order derivative, that is the Caputo-Dzhrbashyan fractional derivative of order $\alpha$, integrated in $\alpha\in (0,1)$ with respect to a positive measure $\rho$. Such equations are used for modeling anomalous, non-exponential relaxation processes. In this work we study asymptotic behavior of solutions of the above equation, depending on properties of the measure $\rho$