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Математика и междисциплинарные исследования – 2016
Editor-in-chief: Ю. А. Шарапов
Chapters
Морозова С. С., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 175–178.
TRAFFIC LIGHTS PHASES PLANNING SYSTEM
Morozova Svetlana S.
National Research University Higher School of Economics,
st. Studencheskaya, 38, Perm, Russia, 614070, svetl_morozova@mail.ru
The article is dedicatedtothe question of traffic lights cycle projecting automation. The paper presents the algorithm of mathematical model construction. The model is based on intersection description and is built in the graph form. The solution of ...
Added: June 9, 2016
Вотинцева В. О., Sakhipova M., Deryabin A. I., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 201–207.
Thecomparativeanalysisofexistingdesign techniques of enterprise system architecture is carried out.
Analytic hierarchy process is used for techniquesanalysis.Systemarchitectureconsistsofnextadjacentarchitectures: data architecture, application architecture and technology architecture. It is optional to apply only one technique for system
architecture development. Itispossibletocombinetechniquesforeacharchitecture design. Asenterprise system architecture directly influences on its functioning efficiency, it is required to make the correct decision design techniques choosing.Development ...
Added: June 9, 2016
Ковалев С. С., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 219–224.
MODELS DEVELOPMENT OF PROVIDING STATE AND MUNICIPAL SERVICES
The paper says about the problem of increasing the efficiency of providing of state and municipal services by multifunctional centres in Russia using information technologies. It is proposed the description of the MFC regulation of providing services in terms of process approach. Modeling of the providing services process to citizens identifies ...
Added: June 9, 2016
Плешкова И. О., Kushev V. O., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 229–233.
Abstract: Getting benefits from the introduction of the ERPsystem is possible with the right choice of system. Under the benefits often refers to increasing the availability of information while using the ERP system, improving the interaction between the functional units of the enterprise, reducing labor costs and time for operation. The subject of the study outlined in the ...
Added: June 9, 2016
Бармина Е. И., Бушуев Р. Н., Котельникова Н. В. et al., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 245–250.
SYSTEM FOR MANIPULATING TEXT CORPORA
The topic of research is system for manipulating text corpora. In this article it will observed existing solutions and briefly described advantages and disadvantages of them. We will take a closer look at the aim and objectives. The aim of research is developing system for manipulating text corpora. This research revealed ...
Added: June 9, 2016
Полушин Г. В., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 266–269.
RELEVANT DOCUMENTS SEARCH SYSTEM
The article is dedicated to the relevant documents search process automation. Relevant literature search is a non-trivial task, as it requires time and imposes certain requirements to the reader. The paper proposes methods to minimize efforts required to find relevant literatureand to automatize the search process. The analysis of existing software solutions ...
Added: June 9, 2016
Shuchalova Y., Lanin V., В кн.: Математика и междисциплинарные исследования – 2016.: Пермь: Пермский государственный национальный исследовательский университет, 2016. С. 280–284.
RESEARCH PORTAL FOR ACADEMIC PAPER ANALYSIS AND EVALUATION The problem of mastering the academic style of English language is relevant to many non-English speaking authors. Recommendations on style improvement are often of a theoretical nature, but there is a possibility to research their implementations using text corpora. This paper presents a concept ...
Added: June 9, 2016
Springer Singapore (Singapore), 2024.
Included in the following conference series:
INdAM: INdAM Meeting: Kolmogorov Operators and their Applications Workshop
Conference proceedings info: INdAM 2022
Kolmogorov equations are a fundamental bridge between the theory of partial differential equations and that of stochastic differential equations that arise in several research fields.
This volume collects a selection of the talks given at the Cortona meeting by ...
Added: July 17, 2026
Veretennikov A., Pascucci A., Rondelli A., Stochastic Processes and their Applications 2026 Vol. 199 Article 104978
We present existence results for weak solutions to a broad class of degenerate McKean-Vlasov equations with rough coefficients, expanding upon and refining the techniques recently introduced by the third author. Under certain structural conditions, we also establish results concerning both weak and strong well-posedness. ...
Added: July 17, 2026
Veretennikov A., Ляппиева А. А., Теория вероятностей и ее применения 2026 Т. 71 № 2 С. 295–304
Установлен новый результат о сильной единственности для многомерного СДУ с невырожденной диффузией и частично нерегулярным сносом. Его можно рассматривать как комбинированный вариант на темы Ямада и Ватанабэ (1971), Звонкина (1974) и первого автора настоящей статьи (1980). ...
Added: July 17, 2026
Veretennikov A., Нуриева А. И., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2025 Т. 525 С. 24–30
Предложено новое достаточное условие в задаче о центральной предельной теореме в схеме серий для неоднородных цепей Маркова, с возможностью того, что минимум эргодического коэффициента Маркова–Добрушина может быть ближе к нулю, чем в основном условии Добрушина. ...
Added: July 17, 2026
О частных производных модифицированных полиномов Бернштейна–Станку для функций нескольких переменных
Veretennikov A., Мазутский Н. М., Математический сборник 2025 Т. 216 № 7 С. 3–27
Целью работы является доказательство аппроксимации смешанных производных второго порядка для функции нескольких переменных в норме L1 такими же производными модифицированных полиномов Бернштейна–Станку при минимальной возможной регулярности. ...
Added: July 17, 2026
Ахмярова А. Т., Veretennikov A., Теория вероятностей и ее применения 2025 Т. 70 № 2 С. 211–227
В работе предложены новые версии слабого закона больших чисел (ЗБЧ) для слабо зависимых слагаемых (вообще говоря, разнораспределенных) как при наличии математического ожидания каждого из них, так и без такового. Одним из основных условий в первом из трех рассматриваемых случаев, в котором развиваются идеи из статьи Ю. Ш. Чау 1971 г., является равномерная интегрируемость слагаемых по Чезаро в духе работ по ЗБЧ для ...
Added: July 17, 2026
Veretennikov A., Stochastics and Dynamics 2024
A new weak existence result for degenerate multi-dimensional stochastic McKean–Vlasov equation is established under relaxed regularity conditions. ...
Added: July 17, 2026
Ахмярова А. Т., Veretennikov A., Теория вероятностей и ее применения 2024 Т. 69 № 3 С. 427–438
Предложен новый вариант усиленного закона больших чисел для попарно независимых случайных величин. Основная цель — ослабить требование существования математического ожидания каждого из слагаемых. Предположение о попарной независимости также ослаблено. ...
Added: July 17, 2026
Veretennikov A., Moscow Mathematical Journal 2024 Vol. 24 No. 1 P. 107–124
Second order recurrence are established for a d-dimensional diffusion with an additive Wiener process, with switching, and with one recurrent and one transient regime and constant switching intensities, under suitable conditions. As a corollary, the rate of convergence towards the invariant regime of order t^{−2} is claimed. The approach is based on embedded Markov chains ...
Added: July 16, 2026
Veretennikov A., Mathematics 2023 Vol. 11 No. 21 Article 4514
Positive recurrence for a single-server queueing system is established under generalized service intensity conditions, without the assumption of the existence of a service density distribution function, but with a certain integral type lower bound as a sufficient condition. Positive recurrence implies the existence of the invariant distribution and a guaranteed slow convergence to it in ...
Added: July 16, 2026
Veretennikov A., Markov Processes and Related Fields 2023 Vol. 23 No. 2 P. 259–294
The ergodic Bellman's (HJB) equation is proved for a one-dimensional controlled diffusion with switching with variable diffusion and drift coefficients both depending on control; the intensities of transitions of the discrete component are constant. Its existence and uniqueness is established. Also, the convergence of the reward iteration improvement algorithm is established to the cost constant ...
Added: July 16, 2026
Михайлов И. А., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 1 Article 8
Whole-slide histology images (WSIs) can exceed 100 k × 100 k pixels, making direct pixel-level segmentation infeasible and requiring patch-level classification as a practical alternative for downstream WSI segmentation. However, most approaches either treat patches independently, ignoring spatial and biological context, or rely on deep graph models prone to oversmoothing and loss of local tissue ...
Added: July 16, 2026
On recurrence, convergence and mixing rate for generalised Wright - Fisher's diffusion with mutation
Veretennikov A., Sineokiy R., Markov Processes and Related Fields 2023 Vol. 23 No. 2 P. 241–258
Generalised one-dimensional Fisher -- Wright diffusion process with mutations is consiedered. This is a well-known model in populational genetics. The goal of the paper is an exponential recurrence of the process, which also implies exponential rate of convergence towards the invariant measure. ...
Added: July 16, 2026
Veretennikov A., Mathematics 2023 Vol. 11 No. 14 Article 3096
Polynomial recurrence bounds for a class of stochastic differential equations with a rotational symmetric gradient type drift and an additive Wiener process are established, as well as certain a priori moment inequalities for solutions. The key feature of this paper is that the approach does not use Lyapunov functions because it is not clear how ...
Added: July 16, 2026
Kuninets A., Malygina E., Leevik A. G. et al., Journal of Computer Virology and Hacking Techniques 2026 No. 22 Article 62
In this work, we investigate the application of Barnes–Wall lattices in post-quantum cryptographic schemes. We survey and analyze several constructions of Barnes–Wall lattices, including subgroup chains, the generalized k-ing construction, and connections with Reed-Muller codes, highlighting their equivalence over both Z[i] and Z. Building on these structural insights, we introduce a new algorithm for efficient ...
Added: July 16, 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
Zapryagaev A., Pahomov F., Logic Journal of the IGPL 2026 Vol. 34 No. 4 Article 12
We prove the linear orders first-order definable in the standard model (Z;<,+) of Presburger arithmetic are exactly those that are (Z;<,+)-definably embeddable into the lexicographic ordering on Z^n for some n. ...
Added: July 16, 2026
Veretennikov A., Veretennikova M., Reliability: Theory & Applications 2022 Vol. 17 No. 3(69) P. 273–291
A simple model of the new notion of ``Markov up'' processes is proposed; its positive recurrence and ergodic properties are shown under the appropriate conditions. ...
Added: July 16, 2026
Veretennikov A., Stochastics and Partial Differential Equations: Analysis and Computations 2022 Vol. 10 P. 1165–1179
Positive recurrence of a $d$-dimensional diffusion with an additive Wiener process, with switching and with one recurrent and one transient regimes and variable switching intensities is established under suitable conditions. The approach is based on embedded Markov chains. ...
Added: July 15, 2026
Veretennikov A., Queueing Systems 2022 Vol. 100 No. 3-4 P. 357–359
B.A. Sevastyanov's result about Erlang telephone station problem has been extended in several publications. In this short note one open question about this model has been discussed. The whole volume was devoted mainly to open problems related to the name of Erlang. ...
Added: July 15, 2026
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 P. 014217–014217
This study investigates the dynamical origins and statistical properties of extreme events (EEs) in a diffusively coupled theoretical Brusselator system, extending from pairwise interactions to globally coupled networks. Statistically, the emergence of EEs is characterized by heavy-tailed probability density functions and exponential interevent interval distributions, alongside an analysis of the complementary cumulative distribution function and ...
Added: July 15, 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