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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2022, Volume 316, Pages 129–144
DOI: https://doi.org/10.4213/tm4213
(Mi tm4213)
 

Intermediately Subcritical Branching Process in a Random Environment: The Initial Stage of the Evolution

E. E. Dyakonova

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
References:
Abstract: We consider a branching process evolving in an i.i.d. random environment. It is assumed that the process is intermediately subcritical. We investigate the initial stage of the evolution of the process given its survival for a long time.
Keywords: branching process, random environment, random walk, change of measure.
Funding agency Grant number
Russian Science Foundation 19-11-00111
This work is supported by the Russian Science Foundation under grant 19-11-00111.
Received: June 11, 2021
Revised: June 21, 2021
Accepted: August 5, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2022, Volume 316, Pages 121–136
DOI: https://doi.org/10.1134/S0081543822010102
Bibliographic databases:
Document Type: Article
UDC: 519.218.27
Language: Russian
Citation: E. E. Dyakonova, “Intermediately Subcritical Branching Process in a Random Environment: The Initial Stage of the Evolution”, Branching Processes and Related Topics, Collected papers. On the occasion of the 75th birthday of Andrei Mikhailovich Zubkov and 70th birthday of Vladimir Alekseevich Vatutin, Trudy Mat. Inst. Steklova, 316, Steklov Math. Inst., Moscow, 2022, 129–144; Proc. Steklov Inst. Math., 316 (2022), 121–136
Citation in format AMSBIB
\Bibitem{Dya22}
\by E.~E.~Dyakonova
\paper Intermediately Subcritical Branching Process in a Random Environment: The Initial Stage of the Evolution
\inbook Branching Processes and Related Topics
\bookinfo Collected papers. On the occasion of the 75th birthday of Andrei Mikhailovich Zubkov and 70th birthday of Vladimir Alekseevich Vatutin
\serial Trudy Mat. Inst. Steklova
\yr 2022
\vol 316
\pages 129--144
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4213}
\crossref{https://doi.org/10.4213/tm4213}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2022
\vol 316
\pages 121--136
\crossref{https://doi.org/10.1134/S0081543822010102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85128992328}
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  • https://doi.org/10.4213/tm4213
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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