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July 9, 2026
HSE Economists Use Search Queries to Forecast Birth Rates
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.
July 8, 2026
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July 8, 2026
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Long-term properties of finite-correlation-time isotropic stochastic systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2022. Vol. 105. No. 5. Article 9.
Il'in A. S., Копьев А., Сирота В. А., Zybin K.

We consider finite-dimensional systems of linear stochastic differential equations ∂txk(t)=Akp(t)xp(t), A(t) being a stationary continuous statistically isotropic stochastic process with values in real d×d matrices. We suppose that the laws of A(t) satisfy the large-deviation principle. For these systems, we find exact expressions for the Lyapunov and generalized Lyapunov exponents and show that they are determined in a precise way only by the rate function of the diagonal elements of A.

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: турбулентностьстохастические дифференциальные уравненияlinear stochastic differential equationLarge deviations theorymulticomponent stochastic systemsСлучайные матрицыproduct of random matricesмультипликативный интегралвероятность и стохастический анализtheory of turbulence
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