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Схема оперативного краткосрочного комплексного прогноза приземной температуры и влажности воздуха
Метеорология и гидрология. 2018. № 8.
The following input data were used by our scheme: the operative weather forecasts with lead-time 3-5 days from several best forecasting hydrodynamic models. Also our scheme uses the archives of these models’ forecasts and of the meteorological measurements in 2800 cities of Russia, East Europe, and Central Asia. The list of the original hydrodynamic schemes can vary. The output of our scheme includes the air temperature forecast for the standard observations moments with period 6 hours and extreme temperatures for lead times from 12 up 120 hours.
The results of the operative forecasting (about ~280 Russian and Belarusian cities and separately 58 localities of Central Asia) are representing on the site of Hydrometeorological Center of Russia every day at 8.30 (a.m. and p.m.) of the Moscow time. Besides temperature we represent on the site amount of precipitation, wind (including gusts), and dew-point temperature with lead-time from 12 up 72 hours with period 6 hours.
We estimate the errors of the complex forecast of the temperature and of the dew-point temperature in the standard moments as well as extreme temperature with various lead-times during the period from June 2014 up to June 2017. Also we compare the accuracy of our operative version (it was improved during the period) with the accuracy of the last version of the forecasting. The accuracy of these forecasts for the standard moments is much better that the forecasts of the original hydrodynamic models. Also we compare the estimations for our forecasting extreme temperature with the similar results of the forecasting scheme “weather element computation” (WEC) and with forecasts of meteorologists of regional meteorological centers.
Ермолаев Е. С., Chernyshev V. L., Skripchenko A., Journal of Nonlinear Science 2026 Vol. 36 No. 122 (2026) P. 1–37
We study upper bounds for the moment of permanent -saturation in finite metric graphs. The dynamics is generated by moving points travelling with unit speed along edges and branching into all outgoing directions whenever they reach a vertex. We first reformulate this branched dynamics in terms of birth times at vertices and prove a sufficient ...
Added: November 12, 2026
Alfimov Mikhail, Kurakin Andrey, Journal of High Energy Physics 2026 Vol. 2026 Article 99
We continue studying regularization scheme dependence of the 𝒩 = 2 supersymmetric sigma models. In the present work the previous result for the four loop β-function is extended to the five loop order. Namely, we find the renormalization scheme, in which the fifth loop contribution is completely eliminated, while the fourth loop contribution is represented ...
Added: November 12, 2026
Ignatev M., Vilkin T., Mediterranean Journal of Mathematics 2026 Vol. 23 No. 2 Article 70
Trinomial varieties are affine varieties given by a system of equations consisting of polynomials with three terms. Such varieties are total coordinate spaces of normal varieties with torus action of complexity one. For an affine variety X, we consider the subgroup SAut(X) of the automorphism group generated by all algebraic subgroups isomorphic to the additive ...
Added: November 12, 2026
Maksaev A., Promyslov V., Тишутин П. С., Записки научных семинаров ПОМИ РАН 2026 Т. 554 С. 218–235
Let K be an algebraically closed field and let ℰₖ be the set of n × n matrices over K with exactly k distinct eigenvalues. Previously, the classification of linear maps T: Mₙ(K) → Mₙ(K) satisfying T(ℰₙ) ⊆ ℰₙ was obtained for invertible maps over fields of characteristic 0. In this paper, the classification is ...
Added: November 11, 2026
Barinova M., Tirskaya Karina, Владикавказский математический журнал 2026 Vol. 28 No. 3 P. 25–43
In this paper, the problem of the existence of an energy function for discrete dynamical systems defined by structurally stable diffeomorphisms is studied. For the considered class of dynamical systems, such a function is defined as a continuous function that decreases along the orbits of the system outside the non-wandering set and remains constant on ...
Added: November 11, 2026
Illarionov A., Математический сборник 2026 Т. 217 № 11 С. 56–87
Let $b(\alpha;T)$ be the number of best simultaneous Diophantine approximations with common denominator $\le T$ to the point $\alpha \in {\Bbb R}^n$. We derive asymptotic formulas for the mean value of this quantity (averaging is performed over all rational points of the form $\alpha = (k_1/N,\ldots, k_n/N)$, $N\le R$), as well as for its mathematical ...
Added: November 10, 2026
Vereshchagin N., Математический сборник 2026 Т. 217 № 10 С. 3–46
Теорема Гудмана-Штрауса утверждает, что для “почти всякой” подстановки семейство подстановочных замощений софично, т.е. может быть задано локальными правилами для некоторой раскраски плиток. Условия на подстановку, гарантирующие софичность, довольно сложные.
В настоящей работе мы предлагаем версию теоремы Гудмана-Штрауса с более простыми условиями на подстановку. Хотя эти условия достаточно ограничительны, мы показываем, что в сочетании с двумя простыми приемами (взятием достаточно ...
Added: November 10, 2026
Aleksei Samarin, Belous F., Торопов А. Г. et al., Technologies 2026 Vol. 14 No. 11 P. 1–21
Abstract
Automated interpretation of magnetic flux leakage (MFL) data is central to condition assessment of long-distance oil and gas pipelines. Yet, full-resolution panoramas are difficult to process without either suppressing small anomalies through resizing or fragmenting elongated objects at sliding-window boundaries. We propose MFL-ScrollNet, a recurrent sliding-window detector that formulates panoramic analysis as an ordered sequence ...
Added: November 8, 2026
Retinsky V., Функциональный анализ и его приложения 2026 Т. 60 № 4 С. 83–100
Приведено обобщение матричной теоремы о деревьях на случай перечисления пар остовных деревьев. Это обобщение включает в качестве частных случаев и унифицирует сразу несколько известных ранее результатов, в частности классическую теорему Кирхгофа, теорему Масбаума–Вайнтроба о перечислении 3-деревьев, а также аналог матричной теоремы о деревьях для перечисления 4-элементов Кирхгофа. ...
Added: November 5, 2026
Levashev V., Математические заметки 2026 Т. 120 № 5 С. 843–846
Пусть 𝐴 – коммутативное ассоциативное кольцо с единицей и 𝐴((𝑡)) = 𝐴[[𝑡]][𝑡−1] – кольцо рядов Лорана над 𝐴. Алгебра 𝐴((𝑡)) имеет естественную топологию, где 𝐴 – подмодули вида 𝑡𝑚𝐴[[𝑡]] образуют базу окрестностей нуля. Пусть также Ω1𝐴((𝑡))/𝐴 – модуль кэлеровых 1-дифференциалов 𝐴((𝑡)) над 𝐴. ...
Added: November 5, 2026
Алексеев О. В., Letters in Mathematical Physics 2026 Vol. 116 No. 5 Article 132
We study the mixed Hessian of the dispersionless Toda \(\tau\)-function for the one-harmonic \(s\)-fold symmetric conformal map \(f(w)=r\bigl(w+\zeta w^{1-s}\bigr)\), where \(r>0\) is the exterior conformal radius and \(\zeta>0\) is the dimensionless shape parameter. This Hessian is the susceptibility matrix generated by the inverse conformal map. Our spectral statements are formulated for its weighted symmetry-block realizations ...
Added: November 5, 2026
Levin A., Sakharova N., / Series arXiv "math". 2024. No. 2412.17795.
The modular curves serve as excellent objects for testing conjectures in arithmetic geometry. They possess a natural geometric definition in contrast with rather nontrivial structure. On the other hand, they are well-studied from the perspective of number theory. Furthermore, there is a well-developed and powerful analytic technique available. We will use the square of the ...
Added: November 4, 2026
Zhuzhoma E. V., Medvedev V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 732–742
We study Axiom A diffeomorphisms (in the sense of Smale) on a closed orientable $n$-manifold $M^n$, $n\ge 4$, whose non-wandering sets consist of codimension one orientable attractors, repellers, and isolated saddle periodic orbits with the same Morse index. Such systems combine chaotic dynamics on basic sets with regular dynamics near trivial periodic orbits. We prove ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V., Yu B. et al., Chaos 2026 Vol. 36 No. 6 P. 063111–063118
We show that any orientable closed 3-manifold $M$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of a 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided that this link contains the figure eight knot. ...
Added: November 3, 2026
Zhuzhoma E. V., Zhirov A. Y., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 2 P. 403–414
On a closed orientable surface, we consider the set of axiom A diffeomorphisms whose non-wandering sets consist of connected one-dimensional expanding attractors and contracting repellers (any attractor/repeller is locally homeomorphic to the product of segment and Cantor set). This set consists of $\Omega$-stable diffeomorphisms and structurally unstable diffeomorphisms. We classify such diffeomorphisms up to the ...
Added: November 3, 2026
Elena R. Loubenets, Sergey Kuznetsov, Quantum Information Processing 2026 Vol. 25 Article 358
The optimal implementation of quantum gates for closed $N$-qubit systems is one of the key challenges for practical realization of many quantum information processing tasks. In the present article, based on the generalized Bloch vectors formalism [J. Phys. A: Math. Theor. 54, 195301 (2021)] for a finite-dimensional quantum system, we develop a new \emph{general} model for the ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V. S., Yu B., Mathematical notes 2025 Vol. 118 No. 2 P. 421–423
We show that given any orientable closed 3-manifold $M^3$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M^3=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided this link contains the figure eight knot. ...
Added: November 3, 2026
Kazakov A., Kulagin N., Lerman L. et al., Chaos 2026 Vol. 36 No. 11 P. 1–24
We study perturbations of an integrable Hamiltonian system with two degrees of freedom that possesses a saddle-focus equilibrium with a homoclinic skirt—a one-parameter family of homoclinic orbits of the saddle-focus whose stable and unstable invariant manifolds coincide. The perturbations are dissipative, and we consider those that split the skirt completely (i.e., no intersections remain). We are interested ...
Added: November 2, 2026
Timur Teregulov, Elena R. Loubenets, / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.
The carbon balance of an ecosystem is the difference between Gross Primary Productivity (GPP) and Ecosystem Respiration (Reco) as expressed by Net Ecosystem Exchange (NEE). While remote sensing retrievals of GPP have reached maturity, Reco estimation remains underexplored and ultimately cast bias on NEE. Here we present an end-to-end multi-scale analysis of the mechanism of ...
Added: August 21, 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
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026