In 1968, American mathematician Paul Chernoff proposed a theorem that allows for the approximate calculation of operator semigroups, complex but useful mathematical constructions that describe how the states of multiparticle systems change over time. The method is based on a sequence of approximations—steps which make the result increasingly accurate. But until now it was unclear how quickly these steps lead to the result and what exactly influences this speed. This problem has been fully solved for the first time by mathematicians Oleg Galkin and Ivan Remizov from the Nizhny Novgorod campus of HSE University. Their work paves the way for more reliable calculations in various fields of science. The results were published in the Israel Journal of Mathematics (Q1).

The International Laboratory of Algorithms and Technologies for Network Analysis (LATNA), established in 2011 at HSE University in Nizhny Novgorod, conducts a wide range of fundamental and applied research, including joint projects with large companies: Sberbank, Yandex, and other leaders of the IT industry. The methods developed by the university's researchers not only enrich science, but also make it possible to improve the work of transport companies and conduct medical and genetic research more successfully. HSE News Service discussed work of the laboratory with its head, Professor Valery Kalyagin.

Foreign scientists successfully continue their work in HSE University laboratories, combining fundamental and applied research to achieve significant results. HSE News Service has spoken to Professor Panos Pardalos, Head of the Laboratory of Algorithms and Technologies for Networks Analysis at HSE University in Nizhny Novgorod, about its work.

The International Laboratory of Dynamical Systems and Applications at HSE University–Nizhny Novgorod conducts in-depth theoretical and applied research, including the study of ocean waves, solar corona reconnections, volcanic phenomena, and ship stability. The lab’s researchers, who have received more than 20 significant research grants over the past five years, actively cooperate with Russian and international colleagues from China, Spain, the USA, the UK, Brazil, and other countries. Prof. Olga Pochinka spoke to the HSE News Service about the laboratory’s work.

The use of mathematical models helps create new diagnostic tools and train neural networks to assist clinicians. Researchers from HSE University and colleagues from Saratov State Medical University are engaged in this work as part of the Mirror Laboratories project. In this interview, Natalya Stankevich, Senior Research Fellow at the International Laboratory of Dynamical Systems and Applications of the HSE Campus in Nizhny Novgorod, talks about what the collaboration has achieved so far.

The IX All-Russian Scientific Student Conference has taken place at the Nizhny Novgorod campus of HSE University, bringing together almost 200 early-career researchers and experts from 14 cities across Russia, from Kaliningrad to Vladivostok, as well as representatives from the African continent.