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News
June 5, 2026
Neural Network Maps as a Method for Constructing Mathematical Models
Scientists from HSE University–Nizhny Novgorod and the Institute of Physics Belgrade, Serbia, are jointly exploring the application of machine learning techniques and neural networks to the study of nonlinear dynamics. Natalya Stankevich, Leading Research Fellow at the Laboratory of Topological Methods in Dynamics of the Faculty of Informatics, Mathematics, and Computer Science at HSE University–Nizhny Novgorod, spoke to the HSE News Service about this international project.
June 5, 2026
‘In the Age of Technology, It Is Interesting to Look into the Past and Think about What We Can Take from It
Polina Tabakova decided to apply for a Philology degree at HSE in Nizhny Novgorod because she grew up in Mari El and did not want to move far away from the Russian forests. In an interview for the Young Scientists of HSE University project, she spoke about the genre of the campus novel, the existential drama of Kolobok, and a blackout version of Eugene Onegin.
June 5, 2026
HSE Scientists Develop Method to Compress Large Language Models Without Losing Quality
Researchers from the AI and Digital Science Institute at the HSE Faculty of Computer Science have developed a new compression method for large language models such as GPT and LLaMA that reduces their size by 25–36% without additional training or significant loss of accuracy. This is the first approach to use mathematical transformations—specifically, rotations of model weights—to make models more amenable to compression with structured matrices. The study results have been published in ACL Findings 2025. The code is available on GitHub.

 

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Многомерные костистые аттракторы

Функциональный анализ и его приложения. 2012. Т. 46. № 4. С. 1–13.
Ilyashenko Y.
Priority areas: economics sociology
Language: Russian
Keywords: инвариантные множествакосые произведенияаттракторы
Similar publications
How Universal is the Cool Water Effect? Evidence from the Unlikely Case of Russia
Kravtsova M., Musaev A. U., Welzel C., / Series "SSRN Working Paper Series". 2026.
Elaborating on Welzel et al.'s "Cool Water Theory," our study zooms into the more limited (albeit still varied) framework conditions of Russia's huge territory. Within Russia's confines, we examine how the combination of moderately cool seasons with steady rain (i.e., Cool Water) affects sub-national areas' contemporary societal progress in two modernization indicators: material prosperity in ...
Added: June 3, 2026
Финансовая грамотность и ответственное финансовое поведение российских домохозяйств
Синяков А. А., Зверева В., Шелованова Т. И., / Центральный банк Российской Федерации. Серия 132 / 2024 "Серия докладов об экономических исследованиях". 2024. № 132.
At the end of 2023, Russia updated its Strategy for Improving Financial Literacy and Developing Financial Culture Until 2030. Unlike the previous strategy, the current strategic goals include not only financial literacy but also financial culture. ‘Culture’ is normative and socially preferred behaviour. The updated strategy brings into focus the relationship between financial literacy and responsible financial behaviour. To explore this relationship, the authors rely on data from the All-Russian Survey of Consumer Finance (2020 and 2022).  Socially ...
Added: June 1, 2026
Почему растущие доходы не делают людей счастливее: эмоциональное объяснение парадокса Истерлина (Why Growing Incomes Do Not Make People Happier: an Emotional Explanation of the Easterlin Paradox)
Vorchik A., / SSRN. Серия Social Science Research Network "Social Science Research Network". 2026.
This work is devoted to a theoretical explanation of the Easterlin paradox, according to which long-term economic growth does not make average level of people's happiness increasing. By happiness, we mean the intensity of emotions people experience while comparing their new income with its expected value, or the target income with its original value. In the first case, ...
Added: May 31, 2026
Determinants of Сonsent to Personal Data Surveillance: Experimental Evidence from Russia
Sizov A., Rodionova M., Sedashov E. et al., / NRU Higher School of Economics. Series PS "Political Science". 2026. No. 1.
Rapid development of surveillance technologies is one of the most socially important consequences of the digital age. This paper investigates the factors determining consent to surveillance of various types  of  personal  data and contributes  to  rapidly  growing  research  on  citizens  perceptions  of surveillance practices. Relying on a comprehensive survey experiment, we study the effects of ...
Added: May 15, 2026
Домашние питомцы и здоровье пожилых. Количественный анализ
Карцева М. А., Peresetsky A., / Высшая школа экономики. Серия WP2 "Количественный анализ в экономике". 2026. № WP2/2026/01.
This study examines the association between health status among elderly individuals living alone and pet ownership (cats, dogs). We employ data from the “Time Use Survey” conducted by the Federal State Statistics Service (Rosstat) in 2019, which contains information on more than 10,000 elderly individuals living alone aged 60 or older in Russia, including data ...
Added: May 8, 2026
Covariate-Balanced Weighted Stacked Difference-in-Differences
Ustyuzhanin V., / Series Econometrics "arxiv". 2026.
This paper proposes Covariate-Balanced Weighted Stacked Difference-in-Differences (CBWSDID), a design-based extension of weighted stacked DID for settings in which untreated trends may be conditionally rather than unconditionally parallel. The estimator separates within-subexperiment design adjustment from across-subexperiment aggregation: matching or weighting improves treated-control comparability within each stacked subexperiment, while the corrective stacked weights of Wing et ...
Added: April 3, 2026
Загадка внутренней мотивации
Vorchik A., / Social Science Research Network. Серия SSRN Working Paper Series "SSRN Working Paper Series". 2026.
This article is devoted to the phenomenon of intrinsic motivation, to understand which two models are proposed. We study how positive/negative intrinsic motivation to work (experienced utility) affects worker's individual labour supply (model I) and the amount of effort they exert (model II). In model I, we use intrinsic motivation to explain the positive/negative slope ...
Added: March 15, 2026
Up and Down the Mount Stupid: An Emotional Explanation of the Dunning-Kruger Effect
Vorchik A., Мамышев М. А., / Series Social Science Research Network "Social Science Research Network". 2025.
In this paper, we develop a formal mathematical model aimed to explain the Dunning-Kruger effect that beginners systematically overestimate their own competence in various fields of knowledge and activity. We argue that the Dunning-Kruger effect arises from the emotional nature of confidence combined with unknown unknowns that it simply can not take into account due ...
Added: February 11, 2026
Microfoundations of the Cultural Modernization Theory
Musaev A. U., Vorchik A., / Series Social Science Research Network "Social Science Research Network". 2026.
This paper attempts to model the evolutionary theory of modernization and democratization. The model reflects the key provisions of R. Inglehart and C. Welzel's theory and provides a microfoundation for the adaptation of subjective values to the objective importances of the survival factors and the structure of the labour markets from the perspective of evolutionary ...
Added: February 10, 2026
Support Link Formation in Contests: Theory and an Experiment
Antsygina A., Teteryatnikova M., Tremewan J. C. et al., / Series "SSRN Working Paper Series". 2025.
Many competitive environments allow for a third party to be indirectly involved by supporting one or both sides in the conflict. Such support can come from trade partners, colleagues, or allies, who can in turn benefit from a supported party's success. We use theory and an experiment to investigate how support relationships develop endogenously in ...
Added: January 31, 2026
Inaction Inertia in Economic Decision Making: The Role of Reference Points
Akhmedova A., / Series "SSRN Working Paper Series". 2026.
The study explores a psychological phenomenon of inaction inertia-avoiding action after missing a more favourable opportunity. Unlike action inertia (e.g.,sunk costs effect), inaction inertia has been less studied, particularly in economic contexts. Considering the reference dependent nature of the phenomenon, I build on the work of Kőszegi and Rabin (2006) to examine how past experiences ...
Added: January 23, 2026
Beyond the Notch: Revenue Manipulation and Business Splitting under Simplified Tax System
Kuchumova (Paramonova) Y. A., Ozhegova A., Зорина К. С., / Series SSRN "Available at SSRN 6108727". 2026.
Simplified tax regimes with explicit eligibility thresholds are a common tool which reduces tax burden but distorts firms’ behavior, creating local bunching just below the threshold. However, we show that when firms have access to business splitting their responses extend far beyond the local margin. Our model demonstrates that splitting reduces local bunching but amplifies ...
Added: January 21, 2026
Tax Audit Expectation Updating: Direct and Indirect Effects of an Audit
Kuchumova (Paramonova) Y. A., Кумачева С. Ш., / Series SSRN "Available at SSRN 5312100". 2025.
In recent years, an emerging body of empirical research has shown that tax audits, in addition to recovering unpaid taxes (direct effect), increase future tax compliance (indirect or dynamic effect). This literature also suggests that updating expectations induced by audit experience plays an important role in explaining this indirect effect. However, exactly how taxpayers form ...
Added: January 21, 2026
Tax Debt Collection Enforcement: When are Collateral Tax Sanctions Effective due to their Prompt Impact?
Kuchumova (Paramonova) Y. A., / Series SSRN "Available at SSRN 5277500". 2025.
While the emerging empirical literature shows that collateral tax sanctions (CTSs) - such as driver’s license suspensions or passport denials - appear to be effective instruments to enforce tax debt collection, there are still few theoretical arguments to explain why. In this paper, I model enforcement of tax debt collection and provide a new rationale for why it could ...
Added: January 21, 2026
Momentum Factor or Factor Momentum in REITs Market?
Dobrynskaya V. V., Tomtosov A., Речмедина С., / NRU HSE. Series WP BRP 60/FE/2017 "SERIES: FINANCIAL ECONOMICS". 2025.
We study the application of factor investing in the market for real estate (REITs). The analysis of traditional factor strategies, such as momentum, value, size and profitability, reveals their unstable and atypical behavior in comparison to the equity market, however, there is a strong momentum effect in the factor strategies. We  propose a new dynamic ...
Added: January 21, 2026
Оценки размерности аттракторов регуляризированной системы Эйлера с диссипацией на сфере
Zelik S., Ильин А. А., Костянко А. Г., Математические заметки 2022 Т. 111 № 1 С. 54–66
We prove the existence of a global attractor of a regularized Euler–Bardina system with dissipation on the two-dimensional sphere and in arbitrary domains on the sphere. Explicit estimates for the fractal dimension of the attractor in terms of its physical parameters are obtained. ...
Added: May 9, 2023
Attractors of direct products
Stanislav Minkov, Shilin I., Qualitative Theory of Dynamical Systems 2021 Vol. 20 No. 3 Article 77
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows ϕ on S^2 for which the attractor of the Cartesian square of ϕ is smaller than the Cartesian square of the attractor of ϕ. In the example for the minimal attractors, the flow ϕ also has a global physical measure such that its ...
Added: September 16, 2021
Attractors of direct products
Stanislav Minkov, Ivan Shilin, / Series math "arxiv.org". 2020. No. arXiv:2011.04824.
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows φ on S^2 for which the attractor of the Cartesian square of φ is smaller than the Cartesian square of the attractor of φ. In the example for the minimal attractors, the flow φ also has an SRB-measure such that its square does ...
Added: November 12, 2020
О двумерных растягивающихся аттракторах А-потоков
Zhuzhoma E. V., Medvedev V., Математические заметки 2020 Т. 107 № 5 С. 787–790
Растягивающиеся аттракторы ...
Added: May 1, 2020
Об аттракторах ступенчатых косых произведений над сдвигом Бернулли
А. В. Окунев, И. С. Шилин, Труды Математического института им. В.А. Стеклова РАН 2017 Т. 297 С. 260–280
Исследуются статистические аттракторы и аттракторы Милнора ступенчатых косых произведений над сдвигом Бернулли. В случае, когда слой – окружность, доказывается, что для топологически типичного косого произведения статистический аттрактор и аттрактор Милнора совпадают и являются устойчивыми по Ляпунову. Для этого рассматриваются некоторые свойства проекции аттрактора на слой, которые могут быть интересны сами по себе. В случае, когда слой – отрезок, дается ...
Added: October 14, 2018
Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force
Bekmaganbetov K., Chechkin G., Chepyzhov V. V. et al., Discrete and Continuous Dynamical Systems 2017 Vol. 37 No. 5 P. 2375–2393
We consider the 3D Navier--Stokes systems with randomly rapidly oscillating right--hand sides. Under the assumption that the random functions are ergodic and statistically homogeneous in space variables or in time variables we prove that the trajectory attractors of these systems tend to the trajectory attractors of homogenized 3D Navier--Stokes systems whose right--hand sides are the ...
Added: June 7, 2017
Persistent massive attractors of smooth maps
Volk D., Ergodic Theory and Dynamical Systems 2014 Vol. 34 No. 2 P. 693–704
For a smooth manifold of any dimension greater than one, we present an open set of smooth endomorphisms such that any of them has a transitive attractor with a non-empty interior. These maps are m-fold non-branched coverings,m≥3. The construction applies to any manifold of the form S 1×M, where S 1 is the standard circle and Mis an arbitrary manifold. ...
Added: December 28, 2015
Hölder properties of perturbed skew products and Fubini regained
Ilyashenko Y., Negut A., Nonlinearity 2012 Vol. 25 No. 8 P. 2377–2399
In 2006, Gorodetski proved that central fibres of perturbed skew products are Hölder continuous with respect to the base point. In this paper, we give an explicit estimate of this Hölder exponent. Moreover, we extend Gorodetski's result from the case when the fibre maps are close to the identity to a much wider class of ...
Added: November 16, 2012
Метод вычисления инвариантных множеств линейных систем большой размерности при неопределённых возмущениях
Daryin A., Куржанский А. Б., Доклады Академии наук 2012 Т. 446 № 6 С. 607–611
Разработка эффективных методов вычисления синтезирующих управлений в линейных системах большой размерности представляет серьёзную задачу в области соответствующей  математической теории и её приложений. Это тем более справедливо для систем с геометрическими ограничениями на управления и неопределённые возмущения. Решение задачи синтеза целевых управлений в указанных условиях опирается, как известно, на построение слабо инвариантных множеств (попятных множеств достижимости), ...
Added: October 30, 2012
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