?
Об одном применении теоремы А.Н. Колмогорова
Чебышевский сборник. 2025. Т. 26. № 5. С. 203–220.
Соболев В. Н., Фролов А. А.
In the article, on the class K 0 of infinite binary sequences without the runs of ones, a
consistent probability distribution P is constructed which is induced by a time-homogeneous
Markov chain with a one-step transition matrix P𝜑 , and is completely determined by the
golden ratio 𝜑. Using a Markov chain to construct a probability measure P allows us to apply
Kolmogorov’s existence theorem. The asymptotic distribution of the subclass K 0 of infinite
binary sequences without the runs of ones starting with zero coincides with the analogous
asymptotic distribution of the classical equiprobable scheme . And in this case, the asymptotic
distribution of the class K 0 coincides with the probability P(K 0)
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Shestoperov A. I., Fomina E. V., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Skorobogatov A., Economics of Transition and Institutional Change 2026 Vol. 34 No. 2 P. 387–409
This paper analyzes the dynamics of the public attitude towards religion using longitudinal data from Russian respondents. Applying Markov chains and regression analysis, we determine the relative success of religious groups in retaining and attracting members. Based on this information, we estimate and explain the projected religious composition of Russia. According to our results, the ...
Added: November 3, 2025
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
Sheshukova M., Belomestny D., Durmus A. et al., , in: Proceedings of the 13th International Conference on Learning Representations (ICLR 2025).: ICLR, 2025.
Added: August 15, 2025
Veresova A., Ovchinnikov A., Научно-технический вестник информационных технологий, механики и оптики 2025 Т. 25 № 1 С. 160–168
The problem of error correction in communication channel may be solved by finding the most probable error vector
in the channel. The equivalent in some cases problem may be formulated as finding the vector of least weight. To
perform this, the distance function is needed matched to communication channel. Hamming and Euclid metrics are
traditionally used in classical ...
Added: May 14, 2025
R. B. Sandlerskiy, Petrzhik N. M., Jargalsaikhan T. et al., Biology Bulletin 2023 Vol. 50 No. S2 P. S226–S238
The results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region are presented. Using the example of a section of the Khordol-Sardag ridge, the spatiotemporal variation of thermodynamic characteristics calculated within the framework of ...
Added: February 26, 2025
Robert Sandlersky, , in: Reference Module in Earth Systems and Environmental Sciences.: Oxford: Elsevier, 2025. P. 1–11.
Added: February 19, 2025
Illarionov A., Алгебра и анализ 2024 Т. 36 № 6 С. 47–81
Let a1,…,as be integers and N be a positive integer. Korobov (1959) and Hlawka (1962) proposed to use the points x(k)=({a1k/N},…,{a1k/N}),k=1,…,N, as nodes of multidimensional quadrature formulae. We obtain some new probability estimates related to discrepancy of the sequence KN(a)={x(1),…,x(N)} and error of Korobov's number-theoretical quadrature formulas. ...
Added: November 22, 2024
Sheshukova M., Belomestny D., Durmus A. et al., / Series arXiv "math". 2024.
We address the problem of solving strongly convex and smooth minimization problems using stochastic gradient descent (SGD) algorithm with a constant step size. Previous works suggested to combine the Polyak-Ruppert averaging procedure with the Richardson-Romberg extrapolation technique to reduce the asymptotic bias of SGD at the expense of a mild increase of the variance. We ...
Added: October 13, 2024
Orlando G., Lampart M., Entropy 2023 Vol. 25 No. 11 Article 1527
Entropy serves as a measure of chaos in systems by representing the average rate of information loss about a phase point’s position on the attractor. When dealing with a multifractal system, a single exponent cannot fully describe its dynamics, necessitating a continuous spectrum of exponents, known as the singularity spectrum. From an investor’s point of ...
Added: February 22, 2024
А. Ю. Попков, Ю. А. Дубнов, Ю. С. Попков, Информатика и автоматизация (Труды СПИИРАН) 2022 Т. 4 № 21 С. 659–677
We propose an approach to estimation of the parameters of non-linear dynamic models using the concept of Randomized Machine Learning (RML), based on the transition from deterministic models to random ones (with random parameters), followed by estimation of the probability distributions of parameters and noises on real data. The main feature of this method is ...
Added: February 5, 2024
Sandlerskiy R., Петржик Н. М., Жаргалсайхан Т. et al., Известия РАН. Серия биологическая 2023 № 8 С. 115–128
Presented results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region. Using the example of a section of the ridge. Khordol-Sardag considers the spatiotemporal variation of thermodynamic characteristics calculated within the framework of the ...
Added: December 17, 2023
Sandlerskiy R., Petrzhik N., Jargalsaikhan T. et al., Entropy 2023 Vol. 25 No. 12 Article 1653
The imminent threat of Mongolian montane forests facing extinction due to climate change emphasizes the pressing need to study these ecosystems for sustainable development. Leveraging multispectral remote sensing data from Landsat 8 OLI TIRS (2013–2021), we apply Tsallis non-extensive thermodynamics to assess spatiotemporal fluctuations in the absorbed solar energy budget (exergy, bound energy, internal energy ...
Added: December 17, 2023
Illarionov A., Математический сборник 2021 Т. 212 № 11 С. 73–88
В. А. Быковский (2002) получил наилучшую на сегодняшний момент верхнюю оценку для наименьшего отклонения сеток Коробова от равномерного распределения. Из результатов настоящей работы вытекает, что эта оценка выполняется почти для всех s-мерных сеток Коробова, состоящих из N узлов, где s⩾3, а N простое. ...
Added: November 15, 2023
Illarionov A., Математический сборник 2022 Т. 213 № 9 С. 70–96
Пусть $N$ --- натуральное число и $a_1, \ldots, a_s$ --- целые числа.
Коробов (1959) и Главка (1962) предложили использовать точки вида
$$x^{(k)} = (\{a_1 k/N\}, \ldots, \{a_1 k/N\}), \quad k=1,\ldots, N,
$$
в качестве узлов многомерных квадратурных формул. Мы получаем некоторые новые результаты, связанные с распределением последовательности $K_N(a)=\{x^{(1)},\ldots, x^{(N)}\}$.
В частности, мы доказываем, что
$$
\frac{\ln^{s-1} N}{N \ln\ln N} \und{s}\ll ...
Added: November 15, 2023