Michel parameters in radiative muon decay

Radiative muon and tau lepton decays are described within the model-independent approach with the help of generalized Michel parameters. The exact dependence on charged lepton masses is taken into account. The results are relevant for modern and future experiments on muon and tau lepton decays.Comment: 10 pages, typos are corrected, references are update

On higher order radiative corrections to elastic electron-proton scattering

QED radiative corrections to elastic electron-proton scattering at low energies are discussed. Corrections to the electron line and effects due to vacuum polarization are computed. Higher order effects are estimated for the conditions of the experiment on the electric and magnetic proton form factors by A1 Collaboration. Calculations are performed within the next-to-leading approximation. Inclusion of the higher order effects can affect the value of the proton charge radius extracted from the experimental data.Comment: 6 pages, 3 figure

On Convergence to Equilibrium Distribution, I. The Klein - Gordon Equation with Mixing

Consider the Klein-Gordon equation (KGE) in $\R^n$, $n\ge 2$, with constant or variable coefficients. We study the distribution $\mu_t$ of the random solution at time $t\in\R$. We assume that the initial probability measure $\mu_0$ has zero mean, a translation-invariant covariance, and a finite mean energy density. We also asume that $\mu_0$ satisfies a Rosenblatt- or Ibragimov-Linnik-type mixing condition. The main result is the convergence of $\mu_t$ to a Gaussian probability measure as $t\to\infty$ which gives a Central Limit Theorem for the KGE. The proof for the case of constant coefficients is based on an analysis of long time asymptotics of the solution in the Fourier representation and Bernstein's `room-corridor' argument. The case of variable coefficients is treated by using an `averaged' version of the scattering theory for infinite energy solutions, based on Vainberg's results on local energy decay.Comment: 30 page

The Media Image of the Country in Political Discourse: Speech Methods of Creation

Modern politics penetrates all spheres of human existence. This undoubtedly intensifies the study of politicaldiscourse. Along with the development of traditional peculiar features (institutional, special informativeness,semantic uncertainty, and many others), new ones arise due to the modern context. Open media landscape andvirtual communication transform both the structure of the subject of political leverage from an individual politicianto a large party, a state, and the object of home or foreign general public, which further influences the language ofthe text as well as its genre and style. This article considers the statements of the Ministries of Foreign Affairsexpressing the official point of view on an event. Official statements made by the Ministry of Foreign Affairs of acountry form a special genre that combines both a spoken and a written forms of messages accompanied by amandatory web version. One of the goals of such statements is to create a specific media image of the country - thespeech image of both the homeland and the partner/opponent country aimed at shaping the public opinion andvalues ​​of the addressee. To carry out the analysis we applied the method of isolating semantic dominants in order todetermine the main speech methods of creating the image of the country. The investigation was conducted on thematerial of the official statements of the Ministry of Foreign Affairs of Russia and Poland made from 2010 to 2018with such functional units as Pol’sha [Poland], polyaki [the Poles] and their contextual synonyms Varshava[Warsaw], pol’skiye vlasti [Polish government], pol’skaya storona [the Polish party] and Rosja, rosyjski, Rosjanin.The findings of the study can be disseminated onto the political discourse as a whole as well as on its linguisticfeatures

Peculiar Motions in the Region of the Ursa Major Supercluster of Galaxies

We have investigated the peculiar motions of clusters of galaxies in the Ursa Major (UMa) supercluster and its neighborhood. Based on SDSS (Sloan Digital Sky Survey) data, we have compiled a sample of early-type galaxies and used their fundamental plane to determine the cluster distances and peculiar velocities. The samples of early-type galaxies in the central regions (within R_200) of 12 UMa clusters of galaxies, in three main subsystems of the supercluster -- the filamentary structures connecting the clusters, and in nine clusters from the nearest UMa neighborhood have similar parameters. The fairly high overdensity (3 by the galaxy number and 15 by the cluster number) suggests that the supercluster as a whole is gravitationally bound, while no significant peculiar motions have been found: the peculiar velocities do not exceed the measurement errors by more than a factor of 1.5-2. The mean random peculiar velocities of clusters and the systematic deviations from the overall Hubble expansion in the supercluster are consistent with theoretical estimates. For the possible approach of the three UMa subsystems to be confirmed, the measurement accuracy must be increased by a factor of 2-3.Comment: 21 pages, 4 tables, 7 figure