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July 24, 2026
‘I Like Self-Fulfilling Prophecies
Andrey Vorchik studies happiness, delivers popular science lectures, and believes that science should address social issues as well. In an interview for the Young Scientists of HSE University project, he spoke about how emotions influence decision-making, the Bermuda Triangle formed by the bathroom, refrigerator, and bed, and the ideal formula for education.
July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

 

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О последовательностях Сомос-4 и Сомос-5.

Математические заметки. 2021. Т. 110. № 3. С. 478–480.
Ustinov A.
Language: Russian
DOI
Keywords: последовательности Сомосанелинейные рекуррентные уравнения
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Сомос-4 и эллиптические системы последовательностей
Быковский В. А., Ustinov A., Доклады Академии наук 2016 Т. 471 № 1 С. 7–10
A general formula for elements of dual Somos-4 sequences is obtained. A sufficient condition for the integerness of such sequences is proposed. ...
Added: October 12, 2025
Тропические последовательности, ассоциированные с последовательностями Сомоса
Быковский В. А., Романов М. А., Ustinov A., Чебышевский сборник 2021 Т. 22 № 1 С. 118–132
Since the seminal note published by M. Somos in 1989, a great deal of attention of specialists in number theory and adjacent areas are attracted by nonlinear sequences that satisfy a quadratic recurrence relation. At the same time, special attention is paid to the construction of Somos integer sequences and their Laurent property with respect to ...
Added: October 12, 2025
On Periodicity of the Somos Sequences Modulo m.
A. V. Ustinov, Mathematical Notes, USA 2024 Vol. 115 No. 3 P. 405–413
We prove the periodicity of finite rank Somos sequences modulo m. As an application, we prove the periodicity of the Somos-(6) (mod m) sequence. ...
Added: July 6, 2024
О периодичности последовательностей Сомоса по модулю m
Ustinov A., Математические заметки 2024 Т. 115 № 3 С. 439–449
We prove the periodicity of finite rank Somos sequences modulo m. As an application, we prove the periodicity of the Somos-(6) (mod m) sequence. ...
Added: April 16, 2024
Последовательности Сомоса (окончание)
Ustinov A., Квант 2023 № 9 С. 11–19
The article is devoted to Somos sequences and their properties. ...
Added: March 24, 2024
Последовательности Сомоса
Ustinov A., Квант 2023 № 8 С. 8–14
The article is devoted to Somos sequences and their properties. ...
Added: March 24, 2024
Элементарный подход к изучению последовательностей Сомоса
Ustinov A., Труды Математического института им. В.А. Стеклова РАН 2019 Т. 305 С. 330–343
Предлагается элементарный подход (не использующий теорию эллиптических функций) к доказательству основных свойств последовательности Сомос-4. ...
Added: November 25, 2021
О лорановости последовательностей Сомос-4 и Сомос-5
Ustinov A., Быковский В. А., Функциональный анализ и его приложения 2019 Т. 53 № 3 С. 79–83
В работе уточняется результат Зелевинского и Фомина (2002) о лорановости последовательностей Сомос-4 и Сомос-5 ...
Added: November 25, 2021
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