Výsledky vyhledávání - "Dyakonova, E. E."

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Intermediately subcritical branching process in random environment: the initial stage of the evolution

Autor: Dyakonova, E. E.

Publikováno v: Proc. Steklov Inst. Math. 316 (2022)

We consider branching process evolving in 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.
Comment: 23 p

Externí odkaz: http://arxiv.org/abs/2110.01836

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Subcritical branching processes in random environment with immigration: survival of a single family

Autor: Dyakonova, E. E., Vatutin, V. A.

We consider a subcritical branching process in an i.i.d. random environment, in which one immigrant arrives at each generation. We consider the event $% \mathcal{A}_{i}(n)$ that all individuals alive at time $n$ are offspring of the immigrant which j

Externí odkaz: http://arxiv.org/abs/2009.03672

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Critical Galton-Watson branching processes with countably infinitely many types and infinite second moments

Autor: Topchii, V. A., Vatutin, V. A., Dyakonova, E. E.

We consider an indecomposable Galton-Watson branching process with countably infinitely many types. Assuming that the process is critical and allowing for infinite variance of the offspring sizes of some (or all) types of particles we describe the as

Externí odkaz: http://arxiv.org/abs/2002.12627

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Branching processes in random environment with sibling dependence

Autor: Vatutin, V. A., Dyakonova, E. E.

We consider a population of particles with unit life length. Dying each particle produces offspring whose size depends on the random environment specifying the reproduction law of all particles of the given generation and on the number of relatives o

Externí odkaz: http://arxiv.org/abs/1812.10304

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How many families survive for a long time

Autor: Vatutin, V. A., Dyakonova, E. E.

A critical branching process $\left\{Z_{k},k=0,1,2,...\right\} $ in a random environment generated by a sequence of independent and identically distributed random reproduction laws is considered.\ Let $Z_{p,n}$ be the number of particles at time $p\l

Externí odkaz: http://arxiv.org/abs/1608.08062

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Extinction of decomposable branching processes

Autor: Vatutin, V. A., Dyakonova, E. E.

The asymptotic behavior, as $n\rightarrow \infty $ of the conditional distribution of the number of particles in a decomposable critical branching process $\mathbf{Z}% (m)=(Z_{1}(m),...,Z_{N}(m)),$ with $N$ types of particles at moment $m=n-k,\, k=o(

Externí odkaz: http://arxiv.org/abs/1509.00759

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Branching processes in random environment which extinct at a given moment

Autor: Boeinghoff, C., Dyakonova, E. E., Kersting, G., Vatutin, V. A.

Publikováno v: Markov Process. Related Fields 16 (2010), no. 2, 329-350

Let ${Z_{n},n\geq 0} $ be a critical branching process in random environment and let $T$ be its moment of extinction. Under the annealed approach we prove, as $n\to \infty ,$ a limit theorem for the number of particles in the process at moment $n$ gi

Externí odkaz: http://arxiv.org/abs/1001.2413

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