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On the Transition of a Mesoscopic System to a Macroscopic System
Mathematical notes. 2018. Vol. 103. No. 2. P. 316–318.
In view of the results obtained in this communication we can connect macroscopy and microscopy via an intermediate level of mesoobjects.
Priority areas:
mathematics
Language:
English
Shaposhnikov S., Asia and Africa today 2025
Digital transformation of small and medium enterprises (SMEs) in India is critical to enhancing competitiveness and improving economic performance. It also helps address unemployment and regional inequality. However, SMEs face financial constraints, a digital skills shortage, resistance to change, and cybersecurity challenges. The authors analyze the impact of government initiatives such as Digital India, CGTMSE, ...
Added: August 14, 2026
Богатырев А. Б., Математический сборник 2023 Т. 214 № 3 С. 106–119
Рассматривается клеточное разбиение пространства модулей вещественных кривых рода 2 с отмеченной точкой на единственном вещественном овале. Клетки перечисляются определенными графами, веса которых описывают комплексную структуру на кривой. Показано, что стягивание ребра графа приводит к корневой особенности естественного отображения из весов графа в пространство модулей кривых. ...
Added: August 14, 2026
Богатырев А. Б., Gendron Q., Успехи математических наук 2023 Т. 78 № 1 С. 209–210
Уравнение Пелля-Абеля — это функциональное уравнение вида P²-DQ² = 1, с заданным многочленом D, свободным от квадратов, и неизвестными многочленами P и Q. Мы показываем, что пространство уравнений Пелля-Абеля с фиксированными степенями D и примитивным решением P является комплексным многообразием. Мы описываем его связные компоненты с помощью эффективно вычислимого инварианта. ...
Added: August 14, 2026
Богатырев А. Б., Transactions of the Moscow Mathematical Society 2024 Vol. 85 No. 2 P. 323–337
The best uniform rational approximation of the Sign function on two intervals separated by zero was explicitly found by E. I. Zolotarëv in 1877. The natural extension of this problem to three bands was solved by E. Stiefel in 1961. We indicate the solutions overlooked by the prominent geometer and study their properties. ...
Added: August 14, 2026
Богатырев А. Б., Успехи математических наук 2026 Т. 81 № 3(489) С. 159–160
Предложена простая и эффективно реализуемая формула для изменения абелевых интегралов (включая их периоды) при вариации образующих классической группы Шоттки, представляющей риманову поврехность. ...
Added: August 14, 2026
Gendron Q., Compositio Mathematica 2025 Vol. 161 No. 7 P. 1483–1511
A Pell–Abel equation is a functional equation of the form P^2-DQ^2=1 , with a given polynomial D free of squares and unknown polynomials P and Q. We show that the space of Pell–Abel equations with the degrees of D and of the primitive solution P fixed is a complex manifold. We describe its connected components ...
Added: August 14, 2026
Yu Z., Wang J., Wang Z. et al., Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2026 Vol. 384 P. 1–16
The integration of data-driven and knowledge-driven approaches in generative geospatial modelling (GGM) is often hindered by their mathematical incompatibilities. Here, we propose a geometric algebra (GA)-based framework that employs a unified multi-vector representation to fuse heterogeneous data and diverse knowledge. The framework facilitates structured reasoning and hypothesis generation through a task-adaptable, five-stage cycle: representation, reasoning, ...
Added: August 13, 2026
Bessonova E., Мякишева С. М., Новиков С. В., Вопросы экономики 2026 № 8 С. 95–124
This paper examines total factor productivity (TFP) dynamics among Russian enterprises from 2018 to 2024, using translogarithmic production function estimates for 290 industries. To address endogeneity and functional dependence issues, we employ the Ackerberg—Caves—Frazer methodology with a control function approach. Our findings reveal distinct sectoral patterns. In mining, both simple average and value-added-weighted TFP rose ...
Added: August 13, 2026
BRICS Journal of Economics 2026 Vol. 7 No. 2 P. 185–209
This study provides an empirical analysis of the relationship between trade and the environment in Singapore. It offers valuable insights into reconciling economic growth and environmental sustainability in this globally significant trade center and contributes significantly to policy formulation for trade-oriented economies. The paper examines empirical trends in trade openness, foreign direct investment (FDI), economic ...
Added: August 13, 2026
Gokhberg L., Kutsenko E., Lebedeva S. et al., М.: ИСИЭЗ ВШЭ, 2025.
This publication prepared by the Russian Cluster Observatory of the National Research University Higher School of Economics Institute for Statistical Studies and Economics of Knowledge is a followup of the 2021 publication dedicated to the statistical measurement of the creative economy of Moscow.
It provides the basic economic indicators of Moscow’s creative industries, assessment of the ...
Added: August 13, 2026
Evgeniia K., Cardoni A., Makeeva E. Y. et al., Business Strategy and the Environment 2026 P. 1–17
This study investigates the relevance of sustainable governance (SG) and its impactful elements in the context of the Russian market, a unique case of an isolated economy, using market value as a proxy for concept relevance. Adopting stakeholder and institutional approaches, this study uses panel data from 152 firms listed on the Moscow Exchange from ...
Added: August 12, 2026
Speranski S. O., Математические заметки 2026 Т. 120 № 3 С. 470–483
We show that, in terms of closure ordinals, many infinitary calculi for ‘first-order’ logics of probability (i.e., for languages similar to those in [Abadi & Halpern 1994]) are as hard as possible: the corresponding closure ordinals coincide with the least non-constructive ordinal, denoted by $\omega_1^{\mathrm{CK}}$. ...
Added: August 12, 2026
Ali S., Bocharnikov V., Ratnikov F. et al., Sensors 2026 Vol. 26 No. 16 Article 5024
Large distributed sensor arrays require repeated recalibration as radiation damage, material aging, gain variation, and readout drift alter channel responses. We studied a high-granularity calorimeter as a large sensor array and addressed unsupervised recalibration from two unpaired datasets: a nominal reference response and an aged response with attenuated cell-wise signals. Aging was modeled by a ...
Added: August 11, 2026
Saraev V., Medovnikov D., Розмирович С. Д. et al., М.: Иннопрактика, 2020.
This report presents a brief summary of the results of a study devoted to the analysis of innovation practices in large Russian companies, their comparison with the most successful international experience, and the identification of opportunities to improve the effectiveness of innovation development tools. ...
Added: August 11, 2026
Rozhkova K., Roshchin S., Roshchina Y., Вопросы экономики 2026 № 8 С. 29–54
Стремительное развитие генеративного искусственного интеллекта (генИИ) усилило дискуссии о том, как новые технологии трансформируют рынок труда, особенно позиции и задачи, которые еще недавно мог выполнять только человек. Эксперименты показывают, что генеративный ИИ может обеспечить значительный прирост производительности, особенно менее квалифицированных сотрудников, что может приводить к возникновению индивидуальной зарплатной отдачи на рынке труда. Впервые для России ...
Added: August 11, 2026
Puchkov E., Knyaginina N., М.: Национальный исследовательский университет "Высшая школа экономики", 2026.
The report examines the ecosystem supporting the development of social entrepreneurship in Europe. It considers the historical evolution of the sector, the approaches adopted by the European Union and individual countries to defining and recognising social enterprises, and the differences between European and Russian models. Particular attention is paid to the role of social enterprises ...
Added: August 11, 2026
Междуреченск: Кузбасский государственный технический университет им. Т.Ф. Горбачева, 2026.
В сборнике представлены материалы докладов по направлениям Международной научно-практической конференции «Современные тенденции и инновации в науке и производстве»: 1. Технологии и инновации в горной промышленности; 2. Экономика, управление, финансы; 3. Информационные системы и технологии; 4. Юный исследователь. Целью этой конференции является обмен передовым опытом, повышения квалификации их участников и, вместе с тем, это способ установления и укрепления научного сотрудничества среди ...
Added: August 11, 2026
Fedyunina A., Drapkin I. M., Simachev Y. V., Area Development and Policy 2026
Trade sanctions generate asymmetric shocks in developing economies, reshaping their integration into global value chains (GVCs). Using a gravity framework covering 68 developing countries over the period 2000–2021, this paper examines how sanctions affect forward and backward GVC linkages. We find that sanctions significantly reduce both dimensions of GVC participation: backward linkages suffer deeper and ...
Added: August 10, 2026
Bereznoy A., Мировая экономика и международные отношения 2026 Т. 70 № 8 С. 16–26
Facing the growing uncertainty of the current global business environment leading multinationals are increasingly turning to strategic foresight (SF) which becomes the integral component of their corporate strategic management systems. The distinctive feature of SF is related to the recognition of multiple futures and the abilities of major market players to influence the occurrence of ...
Added: August 10, 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
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
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
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026