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July 9, 2026
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Researchers from the HSE Faculty of Economic Sciences have shown that the accuracy of birth rate forecasts for Russia can be improved by almost 50% by incorporating the dynamics of online search queries related to pregnancy and childbirth into forecasting models. In the best-performing models, the forecasting error fell from 4.6% to 3.2%. The findings have been published in Populations and Economics.
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The Canonical Operator in Many-Particle Problems and Quantum Field Theory

Vol. 71. De Gruyter, 2022.
Maslov, Victor P., Shvedov O.
Translator: A. Stoyanovsky, Shishkova M., A. Alimov
Editor of translation: Nazaikinskii V. E.

In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the Stückelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers – specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.

Research target: Mathematics Physics
Language: English
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Keywords: quantum field theory Canonical OperatorMany-Particle Problems
The Canonical Operator in Many-Particle Problems and Quantum Field Theory
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