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Entropy Concept for Paramacrosystems with Complex States
. 2012. No. 14. P. 924–944.
Popkov Y.
published
Priority areas:
mathematics
Language:
English
Keywords: Entropy
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245
This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
Added: October 8, 2026
УРСС, 2005.
Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...
Added: October 7, 2026
Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...
Added: October 6, 2026
Kuzminov Y., Kruchinskaia E., Koshel A. et al., М.: Издательский дом НИУ ВШЭ, 2026.
В научном докладе цифровые платформы впервые рассмотрены не как частный сегмент цифрового рынка, а как новый институциональный механизм организации экономики. В одной исследовательской рамке соединены экономика, право, социология, компьютерные науки, информационная безопасность, данные бизнеса и регуляторная практика — все то, что позволяет взглянуть на платформы как на институт со своими правилами игры. Особую ценность работе ...
Added: October 6, 2026
Lola I. S., Ostapkovich G. V., Asoskov D., ИСИЭЗ НИУ ВШЭ, 2026.
Центр конъюнктурных исследований Института статистических исследований и экономики знаний НИУ ВШЭ представляет информационно-аналитический материал «Потребительские настроения населения в III квартале 2026 г.», подготовленный в рамках Программы фундаментальных исследований НИУ ВШЭ.
В основу обзора положены ежеквартальные опросы более 5 тыс. человек в возрасте от 16 лет и старше. Такие опросы Федеральная служба государственной статистики (Росстат) проводит во всех субъектах ...
Added: October 6, 2026
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Rastvortseva S., Tyushkevich Y., Salushkina Z. S., Journal of regional and international competitiveness 2026 Vol. 7 No. 2 P. 38–49
This paper examines the contemporary models of international competitiveness adopted by Big Tech corporations between 2010 and 2025. The study aims to identify the internal drivers underpinning the resilience of technological giants and to assess their capacity to withstand external shocks, including sanctions, geo-economic fragmentation, and regulatory shifts. To achieve this objective, the authors employ ...
Added: October 5, 2026
De Gruyter, 2026.
Post-Soviet Eurasia is one of the world's most geopolitically consequential and rapidly transforming regions. Developments across it increasingly reshape political, economic and social relations far beyond its borders. Understanding these dynamics is therefore both intellectually urgent and analytically demanding, requiring an interdisciplinary approach capable of moving beyond established categories and fragmented national perspectives.
This handbook provides ...
Added: October 5, 2026
М.: Национальный исследовательский университет "Высшая школа экономики", 2026.
В шестнадцатом выпуске электронного издания «Вестник Российского мониторинга экономического положения и здоровья населения НИУ ВШЭ (RLMSHSE)» представлены работы, подготовленные на основании данных лонгитюдного обследования домохозяйств «Российский мониторинг экономического положения и здоровья населения НИУ ВШЭ» (РМЭЗ НИУ ВШЭ) за 1992–2024 гг. В выпуске рассматриваются динамика доходов и расходов российских домохозяйств, тенденции развития рынка труда, социальное самочувствие ...
Added: October 5, 2026
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
Added: October 5, 2026
Милицына П. С., Rozhkova K., Roshchin S. et al., Высшее образование в России 2026 № 8-9 С. 94–115
Привлечение и удержание молодых педагогов в школах является одним из важнейших вопросов для преодоления проблемы кадрового дефицита в системе образования. В статье анализируются особенности трудоустройства выпускников российских вузов педагогических специальностей выпуска 2021–2022 гг. На основе тотальных административных данных выявлены факторы, влияющие на вероятность их первоначального трудоустройства в школу и последующего закрепления в профессии. Результаты показывают, ...
Added: October 5, 2026
Автухова Е. Э., Larionov A., Плачинда К. Д., М.: Экономический факультет МГУ им. М.В. Ломоносова, 2026.
Данное методическое пособие разработано в соответствии с рабочей программой курса «Банковское дело», реализуемого на Экономическом факультете МГУ имени М. В. Ломоносова по специальности «Экономика» (бакалавриат), и может быть рекомендовано для подготовки к семинарским занятиям и самостоятельной работе студентов. ...
Added: October 4, 2026
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Demidova O., Kazakova S., Applied Economics 2026 P. 1–14
This paper examines the nonlinear relationship between inflation and economic growth across Russian regions, contributing to the literature on the inflation-growth nexus by using subnational evidence from a large and economically heterogeneous country. Using panel data for 83 regions over the period 2015–2023, we estimate fixed-effects models with a quadratic specification of inflation. The growth-maximizing ...
Added: October 3, 2026
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026