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Lagrangian stochastic integrals of motion in isotropic random flows
Physics of Fluids. 2024. Vol. 36. No. 2. Article 021701.
A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of different dimensions transported by the flow and can be expressed in terms of local surface densities. The expression for the integrals is universal: it represents general geometric properties and does not depend on the statistics of the specific flow.
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
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
S. Belan, JETP Letters 2025 Vol. 121 No. 6 P. 490–495
Poisson restart assumes that a stochastic process is interrupted and starts again at random time moments. A number of studies have demonstrated that this strategy may minimize the expected completion time in some classes of random search tasks. What is more, it turned out that under optimally tuned restart rate, any stochastic process, regardless of ...
Added: February 16, 2026
A. S. Il'yn, Kopyev A. V., Sirota V. A. et al., Physical Review Fluids 2025 Vol. 10 No. 2 Article L022602
This Letter presents nontrivial stochastic identities for random isotropic second-rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flows of any nature. The case of axial symmetry is also considered. We confirm the validity of the identities using different direct numerical simulations of turbulent flows. ...
Added: February 13, 2025
Noskov F., Panov M., / Series arXiv "math". 2023.
Community detection is one of the most critical problems in modern network science. Its applications can be found in various fields, from protein modeling to social network analysis. Recently, many papers appeared studying the problem of overlapping community detection, where each node of a network may belong to several communities. In this work, we consider ...
Added: May 31, 2024
Lubashevsky I., Lubashevskiy V., Computer Research and Modeling 2024 Vol. 16 No. 1 P. 79–87
We present a novel model for the dynamical trap of the stimulus-response type that mimics human control over dynamic systems when the bounded capacity of human cognition is a crucial factor. Our focus lies on scenarios where the subject modulates a control variable in response to a certain stimulus. In this context, the bounded capacity ...
Added: February 25, 2024
Stoop R., Orlando G., Bufalo M. et al., Scientific Reports 2022 Vol. 12 No. 1 Article 19843
Many processes in nature are the result of many coupled individual subsystems (like population
dynamics or neurosystems). Not always such systems exhibit simple stable behaviors that in the
past science has mostly focused on. Often, these systems are characterized by bursts of seemingly
stochastic activity, interrupted by quieter periods. The hypothesis is that the presence of a strong
deterministic ...
Added: June 27, 2023
A. S. Il'yn, Kopyev A. V., Sirota V. A. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2023 Vol. 107 No. 2 Article L023101
We consider the line, surface, and volume elements of fluid in stationary isotropic incompressible stochastic flow in d-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of d!−1 stochastical integrals of motion that are universal in the sense that their explicit form does not depend on the statistics of ...
Added: February 23, 2023
Kashin B. S., Kosov E., Limonova I. V. et al., Journal of Complexity 2022 Vol. 71 Article 101653
This survey addresses sampling discretization and its connections with other areas of mathematics. The survey concentrates on sampling discretization of norms of elements of finite-dimensional subspaces. We present here known results on sampling discretization of both integral norms and the uniform norm beginning with classical results and ending with very recent achievements. We also show how sampling ...
Added: June 1, 2022
Il'in A. S., Копьев А., Сирота В. А. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 105 No. 5 Article 9
We consider finite-dimensional systems of linear stochastic differential equations ∂txk(t)=Akp(t)xp(t), A(t) being a stationary continuous statistically isotropic stochastic process with values in real d×d matrices. We suppose that the laws of A(t) satisfy the large-deviation principle. For these systems, we find exact expressions for the Lyapunov and generalized Lyapunov exponents and show that they are determined in a precise way only by ...
Added: May 20, 2022
Ragozin I. A., Записки научных семинаров ПОМИ РАН 2021 Т. 505 С. 230–243
In this paper we construct new goodness-of-fit tests for Rayleigh distribution family with an arbitrary scale-parameter σ, based on some property and some characterization. We describe their limiting distributions, calculate local Bahadur efficiencies under close alternatives and perform asymptotic comparison of our test statistics. ...
Added: November 29, 2021
Lubashevsky I., , in: Proceedings of the 45th ISCIE International Symposium on Stochastic Systems Theory and Its Applications.: Kyoto: The Institute of Systems, Control and Information Engineers , 2014. P. 278–283.
The work is devoted to possible generalizations of the Langevin equation based on the notion of the intermediate point determining the contribution of nonlinear random forces and different channels of noise action. ...
Added: November 5, 2021
Kyoto: The Institute of Systems, Control and Information Engineers , 2014.
Added: November 5, 2021
Lubashevsky I., Mahnke R., Kaupuzs J., Weinheim: Wiley-VCH, 2009.
Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in ...
Added: November 5, 2021
Vladimirova N., Shavit M., Belan S. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2021 Vol. 104 No. 1 Article 014129
When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering a noise-driven system, we show that when one mode is pumped and another dissipates, the statistics of such cascades is never close to Gaussian, no matter what is the ...
Added: September 22, 2021
Bossy M., Jabir J. M., Martinez K., Bernoulli: a journal of mathematical statistics and probability 2021 Vol. 27 No. 1 P. 312–347
We consider the problem of designing robust numerical integration scheme of the solution of a one-dimensional SDE with non-globally Lipschitz drift and diffusion coefficients behaving as x^α, with α>1. We propose an (semi-explicit) exponential-Euler scheme for which we obtain a theoretical convergence rate for the weak error. To this aim, we analyze the C1,4 regularity of the solution of ...
Added: January 25, 2021
И. А. Рагозин, Записки научных семинаров ПОМИ РАН 2020 Т. 495 С. 237–249
In this paper we construct two new goodness-of-fit tests for Pareto Itype distribution family with an arbitrary shape-parameter λ, based on anew characterization. We describe their limit distributions, calculate thelocal Bahadur efficiencies under close alternatives and provide asymptoticcomparison of our test statistics. ...
Added: December 14, 2020