On the Transition of a Mesoscopic System to a Macroscopic System

We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...

Added: October 1, 2026

Fractional Macroscopic Fluctuation Theory for a Superdiffusive Ginzburg-Landau dynamics

Bernardin C., João P. M., Gonçalves P., PROBABILITY AND MATHEMATICAL PHYSICS 2026 P. 59–59

We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equation with Dirichlet boundary conditions, while the corresponding stationary profile is characterized by a fractional Laplace equation. We establish a dynamical large deviations principle for the empirical measure and derive the associated stationary ...

Added: October 1, 2026

Long-time behaviour of dynamical systems driven by bounded mixing noises

Kuksin S., Dynamical Systems 2026

We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are reduced to discrete-time random dynamical systems generated by time-one maps, so that the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...

Added: October 1, 2026

Markovian reduction and exponential mixing in total variation for random dynamical systems

Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100

The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...

Added: October 1, 2026

Исламский банкинг и накопление финансовой хрупкости в Саудовской Аравии

Пилюк Е. Р., Rozmainsky I. V., Журнал институциональных исследований 2026 Т. 18 № 3 С. 77–96

This paper analyzes the financial fragility оf cоmpanies in Saudi Arabia frоm 2012 tо 2025 based оn the Hyman Minsky’s financial instability hypоthesis and is the first attempt to apply this theory to a country dominated by Islamic banking. The authors test not only the relationship between the dynamics of financial fragility and the dynamics ...

Added: October 1, 2026

Регулятивное и нерегулятивное давление в ESG-повестке российских компаний

Klaro Ramires P. M., Veselova A., AlterEconomics (ранее - Журнал экономической теории) 2026 Т. 23 № 3 С. 699–718

As Russia transitions toward a green economy and reshapes its sustainable development agenda, understanding the external and internal factors influencing companies’ adoption of ESG principles is increasingly important. The study examines the relationships between external institutional pressure, internal organizational capabilities, and the effectiveness of corporate ESG practices. It focuses on external regulatory and non-regulatory mechanisms, ...

Added: October 1, 2026

Bounds on the derivatives of the log-cumulative distribution function of the multivariate normal distribution

Potanin B., Dolgikh S., Statistics and Probability Letters 2026 Article 110984

We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...

Added: October 1, 2026

Формирование Китаем технологического суверенитета в области «физического ИИ»: кейс промышленной робототехники

Klochko O., Кузнецова М. П., Пространственная экономика 2026 Т. 22 № 3 С. 73–103

The article assesses China’s technological sovereignty in high-tech industries that form the ecosystem of physical artificial intelligence and its readiness to develop intelligent robotics. The aim of the study is to identify changes in China’s position in the global value chains of these industries through a comprehensive analysis of foreign value added used in production, ...

Added: October 1, 2026

Asymptotics of Spectrum and Quantum Averages of the Hydrogen Atom in a Magnetic Field Near the Upper Boundaries of Spectral Clusters

A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545

We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using irreducible representations of the Karasev–Novikova algebra with quadratic commutation relations. We find the asymptotics of a series of eigenvalues and the corresponding asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...

Added: October 1, 2026

Simultaneous approximation of the score function and its derivatives by deep neural networks

Yakovlev K., Puchkin N., Journal of Complexity 2026 Vol. 97

We present a theory for simultaneous approximation of the score function and its derivatives, enabling the handling of data distributions with low-dimensional structure and unbounded support. Our approximation error bounds match those in the literature while relying on assumptions that relax the usual bounded support requirement. Crucially, our bounds are free from the curse of ...

Added: September 30, 2026

Conservative Entropy and Energy Correct Difference Methods for One-Dimensional Quasi-Gasdynamic Systems of Equations

Zlotnik A., Mathematical notes 2026 Vol. 120 No. 6 P. 1005–1009

Numerical methods for solving systems of gas dynamic equations are the subject of a vast literature. A special family of spatially symmetric conservative difference methods based on preliminary kinetic, or quasi-gasdynamic (QGD), regularization of these equations was constructed and successfully tested. A pressing issue is the construction of numerical methods that are not only conservative ...

Added: September 30, 2026

О числе Пикара и размерности алгебраических однородных пространств

Beldiev I., Тимашёв Д. А., Алгебра и анализ 2026 Т. 38 № 5 С. 1–10

An algebraic variety X is called a homogeneous space if there exists a transitive regular action of an algebraic group on X. We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number. ...

Added: September 30, 2026

Subsidy Effects on Productivity and Technical Efficiency of Corporate Dairy Farms in the Russian Federation

Nikulina Y., Jamali Jaghdani T., Götz L. et al., / Series "Working Papers". 2026.

The impact of state subsidies on Russia's post-Soviet dairy output remains controversial; this study provides an empirical analysis of that relationship. Using an unbalanced panel dataset of 123 dairy enterprises in the Leningrad Region spanning the period from 2010 to 2023, we employ stochastic frontier analysis to assess these relationships. The results indicate that subsidies ...

Added: September 30, 2026

Трансфертная поддержка российской экономики: ретроспективный анализ в контексте параметров национального счетоводства

Nazarova A. G., Журнал Новой экономической ассоциации 2026 № 3(72) С. 87–104

The article explores how results of constructing aggregate national transfer accounts’ (NTA) estimates can be used for macroeconomic analysis and forecasts of current transfers in home economy. It presents the findings of the author’s study of their transfer modules over retrospective period of more than 10 years. The emphasis in the paper is focused on ...

Added: September 30, 2026

An archaic reference-free method to jointly infer Neanderthal and Denisovan introgressed segments in modern human genomes,

Planche L., Ilina A., Jay F. et al., Molecular Biology and Evolution 2026 Article 235

Admixture between populations is a common feature of human history. Admixture events introduce new genetic variation that can fuel evolution. Characterizing the significance of admixture events on the evolution of populations across various species is of great interest to evolutionary geneticists. Local Ancestry Inference (LAI) methods infer genetic ancestry of an individual at a particular ...

Added: September 30, 2026

Uniqueness theorem for completely non-degenerate B-groups

Glutsyuk A., Ilyashenko Y., Izvestiya. Mathematics 2026 Vol. 90 No. 1 P. 73–89

We show that a completely non-degenerate B-group is uniquely determined by its factor: two such groups with conformally equivalent factors are Möbius conjugate. A similar property is inherent to the quasi-Fuchsian groups but not to degenerate B-groups. We also study the factor of a B-group as a triple: the main factor, the marked characteristic complex, and a homotopy class of ...

Added: September 30, 2026

Серия инвариантных характеристик реальных сетей

Tuzhilin M., Автоматика и телемеханика 2026 № 11 С. 84–97

Предлагается обобщение двух известных инвариантов реальных сетей: степени и кси-центральности. Строится серия центральностей, основанная на матрице Лапласа сети и параметризованная параметром j со следующими свойствами: во-первых, при j = 0, 1 эти центральности совпадают со степенью и ксицентральностью; во-вторых, их распределение хорошо приближается распределением Вейбулла; в-третьих, для реальных сетей они имеют правостороннюю асимметрию, а для ...

Added: September 29, 2026

Нетривиальное поведение пирамидальных уединенных волн в обобщенном уравнении Гарднера

Melnikov I., Pelinovsky E., Доклады Российской академии наук. Физика, технические науки (ранее - Доклады Академии Наук. Физика) 2026 Т. 529 С. 29–36

Conditions for the emergence of pyramidal solitary waves (solitary waves possessing more than two inflection points) are presented for a family of generalized Korteweg – de Vries (KdV) equations. For the generalized Gardner equation, it is shown that pyramidal solitons are unstable. The decay of initial perturbations close to pyramidal solitary waves is demonstrated numerically. ...

Added: September 29, 2026

Pre-Calabi-Yau algebras and oriented gravity properad

Merkulov S., Journal of Pure and Applied Algebra 2026 Vol. 230 P. 1–19

We study the dual cyclic Hochschild complex $Cyc(A,\K)$ of a (possibly, infinite-dimensional) $A_\infty$-algebra $(A,\mu)$ and prove that any pre-Calabi-Yau extension $\pi$ of the given $A_\infty$ structure $\mu$ in $A$ induces on the cyclic cohomology of $(A,\mu)$ a representation of a new dg properad of {\em oriented}\, ribbon graphs. We compute the cohomology of that properad in terms of ...

Added: September 29, 2026

Pairings on the algebra of Laurent series over a ring

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

Iterative construction of the R-matrices in arbitrary dimensions

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

On static manifolds with boundary admitting a nowhere-vanishing static potential

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

Vague stimulating ideas, images and metaphors in scientific thinking: researchers' work with horizons of unclear knowledge

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

On phase-lock area parquet in a special slow-fast limit of model of Josephson junction.

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