Population Processes with Immigration

Han D.; S. Molchanov; Whitmeyer J.

doi:10.1007/978-3-319-65313-6_16

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August 12, 2026

‘I Would Like My Research to Help Make the World a Calmer and Better Place

Whatever task Saraa Ali, Junior Research Fellow at the Laboratory of Methods for Big Data Analysis (LAMBDA) of the AI and Digital Science Institute (HSE Faculty of Computer Science), is working on, she thinks about how it can benefit people. She told the Young Scientists of HSE University project about her large family, diagnosing three-phase motors, and her dream of building a children’s home in her native country.

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.

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Publications

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Population Processes with Immigration

P. 411–434.

Han D., Molchanov S., Whitmeyer J.

The paper contains a complete analysis of the Galton–Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on $Z^d$ with immigration and prove the existence of the limits for the first two correlation functions.

Keywords: случайная среда branching process Galton-Watson process Immigration Random environment процесс Гальтона-Ватсона ветвящийся процесс

Publication based on the results of:

Вероятностные и статистические методы анализа сложных моделей, задаваемых стохастическими дифференциальными и разностными уравнениями (2017)

In book

Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov

Heidelberg: Springer, 2017.

Multichannel queueing system in a random environment

Tkachenko A., Moscow University Mathematics Bulletin 2014 Vol. 69 No. 1 P. 37–40

This paper is focused on a multichannel queueing system with heterogeneous servers and regenerative input flow operating in a random environment. The environment can destroy the whole system and the system is reconstructed after that. The necessary and sufficient ergodicity condition is obtained for the system. ...

Added: August 20, 2014