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Математическое и компьютерное моделирование эколого-экономического состояния региона: задачи идентификации, прогнозирования, достижимости и управления
Вестник Пермского научного центра. 2013. № 3. С. 13–25.
The main results obtained during the project № 10-01-96054 “Mathematical and computer
modeling of ecological and economic state for a region: problems of identification, forecasting,
attainability and control” are described in this paper in a popular form. The aim of the project was to
develop mathematical and software bases for construction of mathematical models complex of
ecological and economic state of the region taking into account the specifications, diversity and
relationship processes occurring in the region. The created complex is focused on studying the
stability of dynamic models, forecasting ecological and economic state of the region and solving
control problems with finding the control variables and corresponding trajectory of development.
Language:
Russian
Vlasenko D., Saranskaia I., Zakharov D., European Physical Journal: Special Topics 2026 P. 1–16
Hypergraphs provide a natural framework for representing neurophysiological interactions distributed across sets of sensors. A key methodological question is how hyperedges should be defined from frequency-resolved electroencephalography/magnetoencephalography (EEG/MEG) data. We demonstrate a construction strategy in which hyperedges are obtained from canonical coherence (caCOH), an extension of coherence that estimates coupling between multidimensional signal spaces. To ...
Added: August 18, 2026
Gaete Sepulveda M. A., Eunsa, 2026.
Toward the Fifth-Generation University (5GU) is a work that proposes a transformative governance framework for institutions of higher education, capable of addressing the challenges of sustainability, digital reflexivity, and co-creation with multiple stakeholders. Drawing on a historical overview from University 1.0—focused on the preservation of knowledge—to University 5.0, the text presents a model centered on ...
Added: August 18, 2026
Borisov D., Katzarkov Ludmil, Sheshmani A. et al., American Journal of Mathematics 2026 Vol. 148 No. 4 P. 1075–1101
It is shown that there are globally defined Lagrangian distributions on the stable loci of derived \mathrm{Quot}-stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these distributions produces perfectly obstructed smooth stacks with globally defined -1-shifted potentials, whose derived critical loci give back the stable loci of smooth stacks of sheaves in global Darboux form. ...
Added: August 18, 2026
Lysenok N., International Journal of Computer Information Systems and Industrial Management Applications 2026 Vol. 18 No. 17s P. 533–549
This paper asks which families of volatility forecasting models create economic value in active trading, and through which integration channel that value is transmitted. Seven models drawn from four families — econometric (GJR-GARCH, HAR-J), gradient boosting (XGBoost, LightGBM), recurrent neural networks (LSTM, GRU) and a hybrid combining HAR-J with boosting — are compared on the ...
Added: August 18, 2026
Alena Bernyukevich, / Series WP BRP "Basic research program". 2025.
This essay explores the complex issue of determining the appropriate level of risk when implementing innovations within organizations. While innovation is widely recognized as a cornerstone of competitiveness, growth, and sustainability, excessive or poorly managed risk can lead to significant challenges. The discussion highlights key factors influencing acceptable risk levels, including alignment with corporate goals, ...
Added: August 17, 2026
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
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Zhuravleva T., Afanasev K., Engelmann J. et al., / Series "SSRN Working Paper Series". 2026.
Extortionary ("harassment") bribery can persist even when widely condemned, consistent with a coordination problem sustained by beliefs about what others do and what others consider acceptable. We study whether a minimal institutional featurethe presence of a third-party monitor empowered to punish-shifts (i) normative expectations about extortion and compliance and (ii) empirical expectations about their prevalence. ...
Added: July 22, 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
Mishin A., Guerrieri L., Kim J., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Within narrowly defined industries, the most productive firms produce far more than the least productive from the same inputs, and this dispersion widens in downturns. We build a tractable representative-agent model in which financial frictions—adverse selection and moral hazard—make firms sort endogenously into lenders, strategic defaulters, and producers. As credit conditions vary, the resulting misallocation ...
Added: June 28, 2026
Власов С. А., Nevalennyi M., Сафиулин Р. Р. et al., / Банк России. Серия Аналитическая записка "Материалы Банка России". 2026.
В аналитической записке обсуждается долгосрочно устойчивый уровень цены на российскую нефть. Это тот уровень, к которому цена нефти, вероятнее всего, будет тяготеть в долгосрочной перспективе. Потребность в его определении возникает по нескольким причинам. Во-первых, цена на нефть остается одним из ключевых экономических показателей российской экономики, определяющих экспорт, обменный курс рубля, прибыль, доходы и расходы бюджета, ...
Added: June 27, 2026