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• W3040401841 abstract "We study properties of a $p-$type subcritical branching process in random environment initiated at moment zero by a vector $mathbf{z}=left( z_{1},..,z_{p}right) $ of particles of different types. Assuming that the process belongs to the class of the so-called strongly subcritical processes we show that its survival probability to moment $n$ behaves for large $n$ as $C(mathbf{z})lambda ^{n}$ where $lambda $ is the upper Lyapunov exponent for the product of mean matrices of the process and $C(mathbf{z})$% is an explicitly given constant. We also demonstrate that the limiting conditional distribution of the number of particles given the survival of the process for a long time does not depend on the vector $mathbf{z}$ of the number of particles initiated the process." @default.
• W3040401841 created "2020-07-10" @default.
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• W3040401841 date "2020-07-05" @default.
• W3040401841 modified "2023-09-27" @default.
• W3040401841 title "Properties of multitype subcritical branching processes in random environment" @default.
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