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September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.

 

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Об устойчивых дугах, соединяющих диффеоморфизмы Палиса на поверхностях

Динамические системы. 2020. Vol. 10(38). No. 2. P. 139–148.
Nozdrinova E.

In this paper, a class of gradient-like diffeomorphisms $f$ on a closed orientable surface is considered, under the assumption that all non-wandering points of $f$ are fixed and have a positive orientation type. The main result is a construction of a stable arc joining two such diffeomorphisms. The diffeomorphisms under the consideration are Palis diffeomorphisms, who highlights their as only surface diffeomorphisms included in topological flows. By S. Newhouse, M. Peixoto, and J. Fleitas result, all Morse-Smale flows on a given manifold are joined by a stable arc. However, this fact cannot be used directly to construct an arc between cascades, since Palis diffeomorphisms are included only in the topological flow. An idea of a stable arc construction between Palis diffeomorphisms is based on the construction of a bifurcation-free arc joining a Palis diffeomorphism with a diffeomorphism that is a one-time shift of a generic gradient flow of a Morse function.

Priority areas: mathematics
Language: English
Full text
Keywords: gradient-like diffeomorphismградиентно-подобный диффеоморфизмstable arcустойчивая дугаsaddle-nodeседло-узел
Publication based on the results of:
Теория динамических систем и ее приложения (2021)
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