Published in Russian Mathematics
The paper deals with the canonical deformed group of diffeomorphisms with a given length scale which describes the motion of single scales in a Riemannian space. This allows to measure the lengths of arbitrary curves implementing the length principle which was laid by B. Riemann at the foundation of geometry. We present a method of univocal extensi...
Published in Journal of Contemporary Mathematical Analysis
We consider the problem of the non-parametric estimation of the mean function of an inhomogeneous Poisson process when its intensity function is periodic. For integral-type quadratic loss functions there is a classical lower bound for all estimators and the empirical mean function attains that lower bound, thus it is asymptotically efficient. Follo...
Published in Bulletin of the Russian Academy of Sciences: Physics
The first results from studying the energy deposits of inclined muon bundles in a Cherenkov water detector on the Earth’s surface are presented. The general response of the NEVOD Cherenkov calorimeter’s PMT is used as a measure of the energy deposited (proportional to the muon energy losses in the detector’s matter), while the local muon density at...
Published in Surface Engineering and Applied Electrochemistry
This paper reviews opportunities for using electron microscopy in various gas atmospheres for the analysis and morpho-physiological modification of biological structures. The approaches that allow varying the gaseous phase content, as well as temperature, humidity, and pressure, are considered. The applicability of both kinetic and dynamic approach...
Published in Mathematical Methods of Statistics
The aim of this paper is to provide some theoretical understanding of quasi-Bayesian aggregation methods of nonnegative matrix factorization. We derive an oracle inequality for an aggregated estimator. This result holds for a very general class of prior distributions and shows how the prior affects the rate of convergence.
Published in Molecular Genetics, Microbiology and Virology
Herpes simplex virus type 1 is a highly contagious worldwide prevalent infection, which, once it enters the organism, persists during its whole lifetime. According to World Health Organization estimates, about 3.7 billion people under the age of 50 years (90% of the human population) are infected with by HSV-1 worldwide. The important role played b...
Published in Bulletin of the Russian Academy of Sciences: Physics
Presented are results of calculation of the atmospheric neutrino spectra in the energy range from 100 GeV to 10 PeV using the QGSJET-II and SIBYLL 2.1 models of hadron–nuclear interactions and two experimentally based Zatsepin–Sokol’skaya and Hillas–Gaisser models of the cosmic ray spectrum. It is shown that rare decays of short-lived neutral kaons...
Published in Bulletin of the Russian Academy of Sciences: Physics
The Tunka-Grande scintillation array is described. The first results from its operation are presented. The prospects for studying primary cosmic rays in the energy range of 1016 to 1018 eV during simultaneous registration of the Cherenkov and charged particle components along with radio emissions from extensive air showers are discussed.
Published in Bulletin of the Russian Academy of Sciences: Physics
The design for the TAIGA-HiSCORE array, a part of the TAIGA Gamma Ray Observatory, is considered. The observatory is being constructed in the Tunka Valley, 50 km from Lake Baikal. Preliminary results obtained using the first 28 optical stations of the array are presented.
Published in Bulletin of the Russian Academy of Sciences: Physics
The Tunka Radio Extention (Tunka-Rex) is an array of radio antennas located at the TAIGA (Tunka Advanced Instrument for Cosmic Ray Physics and Gamma Astronomy) facility. The array occupies an area of approximately 3 km2 and contains 63 antennas. The results from the first two seasons of Tunka-Rex operation (2012–2014) and antenna array modernizatio...
