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.
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
\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}