Zobrazeno 1 - 10
of 205
pro vyhledávání: '"Vatutin, V. A."'
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
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
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
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
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
Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a trait, and also
Externí odkaz:
http://arxiv.org/abs/1204.6204
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
Publikováno v:
Journal of Theoretical Probability, 25, p. 703-732, 2012
For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. Interestingly there is the possibility that the process may at
Externí odkaz:
http://arxiv.org/abs/1001.1672
Autor:
Wachtel, V. A. Vatutin V.
Let $T$ be the extinction moment of a critical branching process $Z=(Z_{n},n\geq 0) $ in a random environment specified by iid probability generating functions. We study the asymptotic behavior of the probability of extinction of the process $Z$ at m
Externí odkaz:
http://arxiv.org/abs/0809.0986
Autor:
Vatutin, V., Kyprianou, A. E.
Let $Z_{n,}n=0,1,...,$ be a branching process evolving in the random environment generated by a sequence of iid generating functions $% f_{0}(s),f_{1}(s),...,$ and let $S_{0}=0,S_{k}=X_{1}+...+X_{k},k\geq 1,$ be the associated random walk with $X_{i}
Externí odkaz:
http://arxiv.org/abs/0804.1155