An estimate for the average spectral measure of random band matrices

For a class of random band matrices of band width $W$, we prove regularity of the average spectral measure at scales $\epsilon \geq W^{-0.99}$, and find its asymptotics at these scales.Comment: 19 pp., revised versio

Identifying the factors that contribute to sustainable development of the national economy

The structural imbalance is the main problem hindering the development of the Russian national economy. It leads to significant difference in economic efficiency of various industrial sectors. Moreover, the structural imbalance adversely affects the interaction between industries and hampers to foster an enabling environment that would accelerate economic growth consistent with the principles of sustainable development. The right balance between economic sectors provides favorable conditions for a successful interaction between industries. The article suggests the methodology intended to identify the factors contributing to sustainable development of the national economy, to assess the status of the economy as well as to estimate the dynamics of economic growth. The methodology is a promising approach building a network of interactions between different industries to deepen the diversification of economic sectors. The authors propose a set of indicators - indicators of economic imbalances - that allow, based on primary statistical data, to quantitatively determine the degree of difference and the changing dynamics in economic, financial, technological and social characteristics of several economic sectors. The paper details the developed system of monitoring and multi-criteria evaluation of growth in several economic sectors. The system makes it possible to estimate key factors affecting sustainable development of the economy as well as to get the right diagnosis of economic processes that shape the sectoral structure of the Russian economy.peer-reviewe

Kernel estimates for nonautonomous Kolmogorov equations with potential term

Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion coefficients and a possibly unbounded potential term

A SINGLE DIGITAL SPACE FOR THE EFFICIENT FUNCTIONING OF INDUSTRY

The article is devoted to the development of the concept of a single digital space for the effective functioning of the industry. A new model of industrial production organisation, the platform ecosystem are analysed. The analysis of the theoretical concepts of the world economy on its structure, the system of organisation of interaction between ecosystem participants, factors affecting its dynamic development is given. It is shown that digital technologies play an essential role in the organisation of the ecosystem. At the same time, digitalisation occurs in two directions: the creation of the digital space of the enterprise participating in the ecosystem and the creation of the digital space of the ecosystem of industrial production.The analysis of the use of digital technologies in various industries is given. The rating of the use of digital technologies in industry is discussed. The analysis of the factors constraining the process of digitalisation of the industry of the Russian Federation is given. The concept of ecosystem, presented in the world literature, and its functional and organisational features are analysed.The influence of institutional conditions on the functional characteristics of the ecosystem is discussed. The ecosystem management system affects the economic and technological efficiency of each ecosystem participant. The prospects for the development of ecosystems based on platforms are shown.The ability of the Russian manufacturing industry to adapt digital technologies and the organisation of modern forms of production on their basis are analysed. It is demonstrated that the potential of modern production of complex multicomponent products is determined by the ability to scale based on industry 4.0 technologies. At the same time, most of the enterprises fulfill individual orders of consumers and do not participate in the production chains of such products.The tasks necessary for the organisation of breakthrough development of manufacturing enterprises in Russia are formulated. For modern organisational forms of the manufacturing industry a non-departmental management body is proposed. Its structure and functions are discussed

用于工业高效运作的的单一数字空间

The article is devoted to the development of the concept of a single digital space for the effective functioning of the industry. A new model of industrial production organisation, the platform ecosystem are analysed. The analysis of the theoretical concepts of the world economy on its structure, the system of organisation of interaction between ecosystem participants, factors affecting its dynamic development is given. It is shown that digital technologies play an essential role in the organisation of the ecosystem. At the same time, digitalisation occurs in two directions: the creation of the digital space of the enterprise participating in the ecosystem and the creation of the digital space of the ecosystem of industrial production.The analysis of the use of digital technologies in various industries is given. The rating of the use of digital technologies in industry is discussed. The analysis of the factors constraining the process of digitalisation of the industry of the Russian Federation is given. The concept of ecosystem, presented in the world literature, and its functional and organisational features are analysed.The influence of institutional conditions on the functional characteristics of the ecosystem is discussed. The ecosystem management system affects the economic and technological efficiency of each ecosystem participant. The prospects for the development of ecosystems based on platforms are shown.The ability of the Russian manufacturing industry to adapt digital technologies and the organisation of modern forms of production on their basis are analysed. It is demonstrated that the potential of modern production of complex multicomponent products is determined by the ability to scale based on industry 4.0 technologies. At the same time, most of the enterprises fulfill individual orders of consumers and do not participate in the production chains of such products.The tasks necessary for the organisation of breakthrough development of manufacturing enterprises in Russia are formulated. For modern organisational forms of the manufacturing industry a non-departmental management body is proposed. Its structure and functions are discussed.Статья посвящена разработке концепции единого цифрового пространства для эффективного функционирования промышленности. Анализируется новая модель организации промышленного производства – платформенная экосистема. Дан анализ теоретическим представлениям мировой экономики по ее структуре, системе организации взаимодействия между участниками экосистемы, факторам, влияющим на ее динамическое развитие. Показано, что существенную роль в организации экосистемы играют цифровые технологии. При этом цифровизация идет по двум направлениям: создание цифрового пространства предприятия участника экосистемы и создание цифрового пространства экосистемы промышленного производства.Дается анализ по использованию цифровых технологий в различных отраслях промышленности. Обсуждается рейтинг применения цифровых технологий в промышленности. Дается анализ факторов, сдерживающих процесс цифровизации промышленности РФ. Анализируются представленное в мировой литературе понятие экосистемы и ее функциональные и организационные особенности.Обсуждается влияние институциональных условий на функциональные характеристики экосистемы. Показано, что система управления экосистем воздействует на экономическую, технологическую эффективность каждого участника экосистемы. Отмечена перспективность развития экосистем на основе платформ. Проанализирована способность обрабатывающей промышленности России к адаптации цифровых технологий и организация на их основе современных форм производства. Продемонстрировано, что потенциал современного производства сложной многокомпонентной продукции определяется способностью к масштабированию на основе технологий индустрии 4.0. Показано, что большая часть предприятий машиностроения в силу своей функциональной специфики не способна к масштабированию производства.Сформулированы задачи, необходимые для организации прорывного развития предприятий обрабатывающей промышленности России. Для обрабатывающей промышленности предлагается вневедомственный орган управления; обсуждается его структура и функции.文章论述了为工业的有效运作发展单一数字空间的概念｡分析了工业生产组织的新模式 —— 平台生态系统｡作者分析了世界经济结构的理论洞察力﹐而且描述了组织生态系统参与者之间互动的系统以及影响其动态发展的因素｡数字技术已被证明在生态系统的组织中发挥了重要作用｡而数字化是在两个方面进行的：为参与生态系统的企业创建一个数字空间﹐以及为工业生产生态系统创造一个数字空间｡对数字技术在不同工业部门的应用进行了分析｡讨论了数字技术在工业中的应用水平｡对俄罗斯工业数字化的制约因素进行了分析｡对世界文献中提出的生态系统的概念及其功能和组织特征进行了分析｡讨论了制度条件对生态系统的功能特征的影响｡生态系统管理体制影响到其中每个参与者的经济﹑技术效率｡基于平台的生态系统的前景显示｡作者分析了俄罗斯加工工业采用数字技术和在其基础上组织现代生产形式的能力｡证明了﹐当今复杂的多部件生产的潜力是由基于工业4.0技术的扩展能力决定的﹐同时企业主体部分完成客户的个别订单﹐不参与此类产品的生产链｡制定了俄罗斯加工工业突破性发展的挑战｡作者建议为加工工业建立一个非部门管理机构﹐并讨论其结构和功能