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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)
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
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
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