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Математическое моделирование судебной системы
Право и экономика. 2018. № 4. С. 73–78.
Aimed at raising the effectiveness of the judicial system and budget expenditure, this article views it through the Queue Theory, which allows solving a non-trivial task of determining the system’s type and key parameters.
The Russian judicial system is a complex network of queuing systems with a discretionary number of service centers (judges), each being a queuing system itself. It simultaneously includes multi-channel and single-channel queuing systems, is stochastic, non-linear and open. The demand flow is heterogeneous, without consequences or losses and has different priority classes (absolute or relative priority). It may be described as stochastic with an uneven intensity and dynamic prioritization.
This article defines three parameters of the conceptual judiciary model: structural, stress and functional. It also points to the problems of the judicial system viewed as a mathematical model, which must be addressed by the rational disciplines of buffering and service.
Spiridonov V. P., Belousov N. M., Sarkissian G. A., Analysis and Mathematical Physics 2026 Vol. 16 Article 96
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...
Added: August 4, 2026
Gayfullin S., Kikteva V., Results in Mathematics 2026 Vol. 81 No. 5 Article 146
In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties. ...
Added: August 3, 2026
Rovnov Y., European Energy and Environmental Law Review 2026 Vol. 35 No. 2 P. 75–92
The article tracks a change of approach taken by national courts within and across legal systems to assessing climate actions in tort. The polycentric nature of climate policy, which had proven fatal to plaintiffs’ earlier cases in common law jurisdictions, has rarely struck judges in continental Europe as a particularly effective defence. Nonetheless, to civil ...
Added: August 3, 2026
Bogdanovskaya I. J., Volos A., Trubina V. et al., Legal Issues in the Digital Age 2026 Vol. 7 No. 2 P. 113–135
Оn 10 October 2025, the National Research University Higher School of Economics (HSE) Law Faculty held the XIV International Scientific and Practical Conference “Law in the Digital Age” in furtherance of the discussion of artificial intelligence (AI) and law, a subject brought forward at the XIII International Workshop back in 2024.
Whereas the plenary meeting focused ...
Added: August 3, 2026
Lunts V., Функциональный анализ и его приложения 2026 Т. 60 № 3 С. 127–129
Доказано, что канонические полуортогональные разложения производной категории диаграммной схемы индуцируют аналогичные разложения подкатегории совершенных комплексов. ...
Added: August 3, 2026
Belomestny D., Gasnikov A., Gladin E. et al., Russian Mathematical Surveys 2026 Vol. 81 No. 4(490) P. 3–90
Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin the design and analysis of modern algorithms in RL. We begin from Markov decision processes (MDPs) and the Bellman operators, emphasizing contraction mappings, monotonicity, and fixed-point theory that yield convergence guarantees and rates ...
Added: August 3, 2026
Боголюбов Е. А., Российский юридический журнал 2026 № 2 С. 177–191
The article is devoted to the analysis of the staff of the Soviet notary in the pre-war period (1917-1941) and the problem of continuity between prerevolutionary and Soviet notaries. Three key stages of the development of the Soviet notary are highlighted: the old-regime notary, the transitional notary and the proletarian notary. At the first stage ...
Added: August 1, 2026
A. Radomskii, Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147
We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
Added: July 31, 2026
Купцов И. А., Закон 2026 № 7 С. 72–85
The article analyses the problem of the issue preclusion significance of a court decision that has entered into legal force in the case of challenging the results of a tax audit, in evidence in criminal cases of tax crimes. As a result of the study, the author concludes that it is inadmissible to revise the ...
Added: July 31, 2026
Klementiev A., Московский журнал международного права 2026 № 2 С. 190–202
INTRODUCTION. Concepts such as “harmonization” and “unification” are currently widely used in the legal field as methods for harmonizing legal regulation. Unlike domestic harmonization and unification, international legal convergence aims to eliminate contradictions in the laws of different states. The implementation of transnational harmonization and unification projects has been greatly facilitated by the activities of international ...
Added: July 30, 2026
Абызов А. Н., Буутай П. Н., Математика и теоретические компьютерные науки 2026 Т. 4 № 2 С. 4–75
This paper is expository and methodological in nature and is devoted to the development of E.I. Zolotarev’s ideas embedded in his approach to the proof of the quadratic reciprocity law (1872). We consider extensions of Zolotarev’s approach to abstract number rings presented in the work of A. Brunyate and P.L. Clark (2015), and to finite ...
Added: July 30, 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
Mikhaylets E. V., Razorenova A. М., Chernyshev V. L. et al., Scientific Reports 2026 Vol. 16 Article 23560
Meditation offers a naturalistic paradigm for studying introspection, yet the neural dynamics of advanced tantric practices remain largely unexplored. Buddhist Highest Yoga Tantra (BHYT) comprises a sequence of eight dissolution stages culminating in the “clear light” state. We recorded EEG during eyes-closed BHYT meditation performed in monasteries and hermitages (51 sessions from 36 male practitioners; ...
Added: July 29, 2026
Ilyin A., Закон 2026 № 7 С. 14–27
There is hardly a more confusing issue in court practice than issue preclusion. The difficulty of understanding the current rules on issue preclusion leads to the casuistry of their application, which leads to the accumulation of contradictions. Two main issues related to issue preclusion are still extremely controversial: firstly, what exactly is being prejudged — facts or facts with a ...
Added: July 29, 2026
Попеленский Ф. Ю., Математический сборник 2026 Т. 217 № 2 С. 108–153
In a recent paper Buchstaber and the author introduced a new structure on the cohomology of Hopf algebras in terms of the Buchstaber spectral sequence (Bss). We fully calculate this structure on the cohomology (known for a long time) of the important Hopf subalgebra A(1) of the classical Steenrod algebra A2.
As part of a demonstration ...
Added: July 28, 2026
Metlov K., Andrei B. Bogatyrëv, Annalen der Physik 2026 Vol. 538 No. 6 Article e70234
Thanks to the recent progress in bulk full three-dimensional nanoscale magnetization distribution imaging, there is a growing
interest to three-dimensional (3D) magnetization textures, promising new high information density spintronic applications.
Compared to 1D domain walls or 2D magnetic vortices/skyrmions, they are a much harder challenge to represent, analyze and
reason about. Here we build analytical representation for such ...
Added: July 28, 2026
Mokhova E., Закон 2026 № 7 С. 172–192
The article is the first part of a study of the foreign directors responsibility in the bankruptcy of foreign companies, which analyses he European approach, the international standard of UNCITRAL and foreign experience on this issue. The problem is considered through the prism of the concept of internationalisation of the responsibility of the debtor’s directors to ...
Added: July 27, 2026
Polyakov S., Smeshkova L., Lapin V. et al., Veredas do Direito 2026 Vol. 23 No. 11 Article e237531
The article examines the significant transformation of the concept of information and its impact on modern security technologies. Until the middle of the 20th century, the concept of information was considered as a philosophical category related to the transfer of knowledge and meaning. With the advent of Claude Shannon's communication theory, information was reinterpreted as ...
Added: July 27, 2026
Степанов С. К., Иноземцев М. И., Закон 2026 № 7 С. 193–203
In 2022, the European Commission introduced a draft directive on liability for harm caused through the use of artificial intelligence systems. The hallmark of the proposal lies in its decision to retain a fault-based liability regime, even when harm arises in connection with the deployment of AI technologies. The draft further includes several procedural mechanisms ...
Added: July 27, 2026
Menovshchikov A., Ukhlov A., Rendiconti del Circolo Matematico di Palermo 2026 Vol. 75 Article 91
We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues. ...
Added: July 27, 2026
Menovshchikov A., Journal of Mathematical Sciences 2026 Vol. 298 P. 608–618
We study the set of (p, q)-eigenvalues of the p-Laplace operator with no-flux boundary conditions. We show that this set is closed and that its smallest positive element (the first nontrivial eigenvalue) admits a variational characterization. Moreover, we establish lower bounds for this eigenvalue in cuspidal domains. ...
Added: July 27, 2026
Лескина Э. И., Теоретическая и прикладная юриспруденция 2026 № 2(28) С. 69–83
Abstract
Introduction: Legal principles are time-tested, which correspond to the legal traditions and values of society. The development of digital technologies leads to the expansion of human rights, restrictions in modern technological solutions. Such a situation in the disclosure with the principle of "black box", due to the opacity of algorithms, decisions made with the help ...
Added: July 2, 2026
Galperin M., Сравнительное конституционное обозрение 2026 Т. 35 № 1(166) С. 119–140
The active introduction and spread of various non-judicial forms of resolving legal conflicts and confirming
rights raises the fundamental question of whether it is permissible to exclude certain cases
from judicial jurisdiction and transfer them to non-judicial jurisdiction. Over the past forty years,
Russian legal system has gone from recognizing the competence of courts on a residual basis ...
Added: April 22, 2026
Borisova T. Y., Parsamov V., Новое прошлое 2025 № 4 С. 46–64
The article is devoted to the discussion in historiography and historical sources of the question of the qualification of the actions of those under investigation after
the speech on Senate Square on December 14, 1825. The article examines the current historiographical discussion about the need for a critical assessment of investigative
and judicial materials as historical sources. ...
Added: February 2, 2026