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News
August 11, 2026
‘The Peak of Stupidity and ‘The Valley of Despair: HSE Economists Propose an Explanation for the Dunning–Kruger Effect
The Dunning–Kruger effect, which describes a sharp surge in self-confidence among beginners followed by an equally rapid decline as they gain experience, can be explained by the nature of the learning process and the acquisition of new knowledge. This conclusion was reached by Andrey Vorchik of the HSE Faculty of Economic Sciences together with independent researcher Murat Mamyshev. They developed a mathematical model of learning and demonstrated how subjective confidence is formed and changes as knowledge accumulates, as well as how teachers can reduce the ‘valley of despair’ experienced by learners.
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.

 

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Об исследовании информационных характеристик естественных языков

Обозрение прикладной и промышленной математики. 2016. Т. 23. № 1. С. 3–16.
Los A., Вильбоа Н. В., Mironkin V.

The tasks associated with finding some information characteristics (entropy, the distribution of m-grams, syllables and phrases), the using of which allows to build the predictive models for the development of natural languages, are considered. The texts in Russian, English, German, French and Georgian languages, as classified by time intervals and styles, are experimental studied.

Research target: Mathematics Philology and Linguistics
Priority areas: mathematics
Language: Russian
Full text
Text on another site
Keywords: entropyэнтропия динамика измененийdynamics of changesпрогноз развитияинформационная избыточностьredundancy of informationforecast of development
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We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
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Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
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Added: July 21, 2026
On functional equations for Chow polylogarithms
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
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