• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Symplectic Partially Hyperbolic Automorphisms of 6-Torus
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
June 25, 2026
HSE Researchers Make Aldehydes Perform Dual Function
Chemists from HSE University have discovered a way to carry out a reductive addition reaction without using an external reducing agent. Instead, the required 'resource' is supplied by the aldehyde itself, one of the reaction participants. This approach helps prevent unwanted side reactions, reduces toxicity, and simplifies the production and synthesis of organic molecules, including those used in the manufacture of medicines. The study has been published in Journal of Catalysis.
June 25, 2026
HSE Scientists Explain Why Findings in Autism Research Differ
Researchers from the Cognitive Health and Intelligence Centre at HSE University conducted the first-ever systematic review of studies on the specifics of emotion-from-motion perception in autism. The review showed that differences found between autistic and non-autistic individuals are largely associated with the experimental design and the types of tasks given to study participants. The review findings have been published in Research in Autism.
June 22, 2026
‘In Science, You Are Your Own Boss
Polina Nasledskova is interested in identifying gaps in linguistics and topics that have been overlooked by other researchers. In an interview for the  Young Scientists of HSE University project, she spoke about rare ordinal numerals in Nakh-Daghestanian languages, the benefits of knitting for concentration, and the beauty of the Patriarshy Bridge.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Symplectic Partially Hyperbolic Automorphisms of 6-Torus

Journal of Geometry and Physics. 2024. Vol. 195. No. 2. Article 105038.
L. M. Lerman, K. N. Trifonov

We  study topological properties of automorphisms of a 6-dimensional torus $\T^6$ generated by integer matrices with simple eigenvalues being symplectic with respect to either the standard symplectic structure in $\R^6$ or a nonstandard symplectic structure given by an integer skew-symmetric non-degenerate matrix. Such a symplectic matrix generates a partially hyperbolic automorphism of the torus, if its eigenvalues lie both outside and on the unit
circle. We study transitive and decomposable cases possible here and present a classification in both cases.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: классификацияclassificationpartial hyperbolicityчастично-гиперболическийsymplectictorus automorphismавтоморфизм торасимплектический группоид
Publication based on the results of:
Теория динамических систем и ее приложения (2023)
Similar publications
Generalized Hurst Hypothesis: Description of Time-Series in Communication Systems
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2026 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Indicators of cosmonaut locomotor functions stability: A new method for ground-reaction forces analysis
Ivchenko A., Шестопёров А. И., Фомина Е. В., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Платформа, управляемая событиями, для интеграции компонентов машинного зрения с операционным центром.
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Подход к оценке динамики уровня консолидированности отрасли
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Цифровой двойник полностью автоматизированного склада с глубокими стеллажами
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
On Projective Threefolds with Two-Dimensional Space of Vanishing Cycles
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Современные методы теории краевых задач. Понтрягинские чтения XXXVII.
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Воронежская зимняя матаматическая школа С. Г. Крейна - 2026.
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций,  включенных в программу Воронежской зимней матаматической школы С. Г. Крейна - 2026. ...
Added: June 25, 2026
Моделирование полностью роботизированного склада со стеллажами глубокого хранения
Gadzhimirzaev S., Хельвас А. В., Computer Research and Modeling 2026 Vol. 18 No. 2 P. 423–438
This article presents a model of a fully automated warehouse with deep storage racks designed for boxed goods storage. The study focuses on optimizing warehouse operations through discrete multiagent simulation of shuttle movements for pallet loading and unloading tasks. The authors investigate various product placement strategies, including the Nearest Channel Positioning Algorithm (NCPA), Most Empty ChannelGroup Placement (MECGP), and ...
Added: June 24, 2026
Нахождение формальных степенно–логарифмических разложений решений 𝑞–разностных уравнений
Gaianov N., Parusnikova A., Уфимский математический журнал 2026 Т. 18 № 2 С. 14–22
We consider an algebraic 𝑞–difference equation. We propose a sufficient condition for the existence of a formal power–logarithmic expansion in the vicinity of zero of the solution to such an equation. We apply this sufficient condition to construct the formal expansion of a solution to a certain 𝑞–difference analogue of the fifth Painlevé equation for particular ...
Added: June 24, 2026
Open r-spin theory II: The analogue of Witten's conjecture for r-spin disks
Buryak A., Clader E., Tessler R., Journal of Differential Geometry 2024 Vol. 128 No. 1 P. 1–75
We conclude the construction of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define open $r$-spin intersection numbers, and we prove that their generating function is closely related to the wave function of the $r$th Gelfand--Dickey integrable hierarchy. This provides an analogue of Witten's $r$-spin conjecture in the open setting ...
Added: June 23, 2026
Tautological relations and integrable systems
Buryak A., Shadrin S., Epijournal de Geometrie Algebrique 2024 Vol. 8
We present a family of conjectural relations in the tautological cohomology of the moduli spaces of stable algebraic curves of genus g with n marked points. A large part of these relations has a surprisingly simple form: the tautological classes involved in the relations are given by stable graphs that are trees and that are decorated only by powers ...
Added: June 23, 2026
Terra incognita: йольские языки (langues d’oïl)
Бестолкова Г. В., Вестник Донецкого национального университета. Филология и психология 2025 № 6 С. 62–73
The research paper objective is to formulate and integrate the term “langues d’oïl” into contemporary   Russian Romance studies’ conceptual framework in order to expand Romance languages’ scientific knowledge.   In accordance with this goal, the given paper involves a number of objectives: term “langues d’oïl” formation’s   historical background analysis; regional languages’ area description in modern France; comprehensive description   of “French ...
Added: February 23, 2026
Территориальная вариативность окситанского языка: классификация северных диалектов
Бестолкова Г. В., Теория языка и межкультурная коммуникация 2023 № 3(50) С. 1–15
Significant role in modern Occitan language’s development is played by variety of dialects, subdialects and colloquial speech, that determines relevance of the study undertaken in this article. Occitan language dialects’ number is large, therefore only its northern dialects are considered in detail within this article. The material contained in the article allows to form a ...
Added: February 15, 2026
Classification Approach to Mapping Cultural Differences: An Illustration Using Survey Data from 60 Russian Regions
Nastina E., Sokolov B., / Series OSF "SocArXiv". 2025.
We argue that a classification-based approach to measuring cultural differences across countries or subnational regions is a promising complement, and sometimes an alternative, to the widely used dimensional method in cross-cultural research. The latter summarises cultural variation using continuous dimensions, for example, Hofstede’s famous individualism-collectivism dimension. However, this approach relies on strong parametric assumptions, which are ...
Added: December 23, 2025
Абстрактные логики как структуры и классификации структур
Dragalina-Chernaya E., В кн.: Четырнадцатые Смирновские чтения по логике: материалы Междунар. науч. конф., Москва, 19-21 июня 2025 г.: М.: Издатель Александр Воробьев, 2025. С. 80–82.
В докладе сопоставляются истолкования абстрактных логик как структур и как классификаций абстрактных структур. ...
Added: June 20, 2025
Юридически значимые классификации инвестиций
Lapteva A., Государство и право 2025 № 3 С. 124–131
Added: April 7, 2025
Сравнение ансамблевых и корреляционных графов в задаче классификации состояний мозга на основе фМРТ данных
Vlasenko D., Ушаков В. Г., Zaikin A. et al., Известия высших учебных заведений. Прикладная нелинейная динамика 2025 Т. 33 № 4 С. 557–566
The study of functional brain networks that support cognitive processes is one of the central goals of modern neuroscience. Functional magnetic resonance imaging (fMRI) is widely used to obtain data on brain activity. However, the high dimensionality and dynamic nature of fMRI data makes their processing challenging. Network-based methods of data representation offer a promising approach to describe ...
Added: January 14, 2025
Ensemble methods for representation of fMRI, EEG/MEG data in graph form for classification of brain states
Vlasenko D., Zaikin A., Zakharov D., , in: 2024 8th Scientific School Dynamics of Complex Networks and their Applications (DCNA).: IEEE, 2024. P. 258–261.
The goal of this work is to propose a method for representing functional magnetic resonance imaging data and electroencephalography/magnetoencephalography data in the form of graphs reflecting the interactions of brain regions for brain state classification tasks. This method is based on ensemble learning to improve generalizability, accuracy, robustness and parallelism of the classification model, which ...
Added: December 7, 2024
Теоретико-модельные логики как классификации дефинитных многообразий
Dragalina-Chernaya E., Логико-философские штудии 2024 Т. 21 № 4 С. 163–164
В статье предлагается истолкование теоретико-модельных (абстрактных) логик как классификаций дефинитных многообразий, которые представляют собой предмет логики как формальной онтологии в интерпретации Гуссерля. ...
Added: June 18, 2024
Классификация налоговых обязанностей: развитие в условиях цифровизации
Lyutova O. I., Актуальные проблемы российского права 2024 № 5 С. 11–17
Автором статьи проведена классификация налоговых обязанностей, которая представляется актуальной в условиях цифровизации экономики. Классифицирование осуществлялось в отношении тех налоговых обязанностей, которые подверглись наиболее существенным изменениям их содержания и структуры в результате внедрения использования цифровых технологий. Обосновано, что в период цифровой трансформации основная налоговая обязанность по уплате налогов и сборов по критерию вида платежа и особенностей ...
Added: May 29, 2024
Нерешенные проблемы применения документов по стандартизации в сфере закупок
Байрашев В. Р., Стандарты и качество 2024 № 5(1043) С. 25–29
The article reviews topical issues of using standardization documents on public and corporate procurement, including interrelations of national standards and others legislative requirements for description of goods, works and services, application of nomenclature and terminology of standardization legislation in procurement. The analysis of the order of using standardization documents allowed to make a conclusion about necessity ...
Added: May 6, 2024
Русские глоссы в немецком Маттиоли
Lifshits A., Святохина Е. В., В кн.: Вспомогательные исторические дисциплины в современном научном знании: Материалы XXXVI Всероссийской научной конференции с международным участием. Москва, 4–5 апреля 2024 г.: М.: ИВИ РАН, 2024. С. 220–221.
Тезисы доклада ...
Added: April 4, 2024
Classification of brain activity using Synolitic networks
D. V. Vlasenko, A. A. Zaikin, D. G. Zakharov, Izvestiya Vysshikh uchebnykh zavedeniy. Prikladnaya nelineynaya dinamika 2023 Vol. 31 No. 5 P. 661–669
Because the brain is an extremely complex hypernet of interacting macroscopic subnetworks, full-scale analysis of brain activity is a daunting task. Nevertheless, this task can be greatly simplified by analysing the correspondence between various patterns of macroscopic brain activity, for example, through functional magnetic resonance imaging (fMRI) scans, and the performance of particular cognitive tasks ...
Added: March 11, 2024
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit