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Critical multitype branching processes in a random environment
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E. E. Dyakonova
Published/Copyright:
December 10, 2007
We investigate a multitype Galton–Watson process in a random environment generated by a sequence of independent identically distributed random variables. Assuming that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices satisfies Spitzer's condition, we find the asymptotics of the survival probability at time n as n → ∞.
Received: 2006-May-16
Published Online: 2007-12-10
Published in Print: 2007-12-11
© de Gruyter
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Articles in the same Issue
- Properties of the output sequence of a simplest 2-linear shift register over Z2n
- A multivariate Poisson theorem for the number of solutions close to given vectors of a system of random linear equations
- Critical multitype branching processes in a random environment
- On the intersection number of a graph
- Generalised Pascal pyramids and their reciprocals
- On identical transformations in commutative semigroups
