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math.PR2013
A two-type Bellman--Harris process initiated by a large number of particles
Vladimir Vatutin, Alexander Iksanov, Valentin Topchii
We investigate a two-type critical Bellman--Harris branching process with the following properties: the tail of the life-length distribution of the first type particles is of order…
math.PR2013
Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve
Alexander Iksanov, Alexander Marynych, Vladimir Vatutin
The Bernoulli sieve is a random allocation scheme obtained by placing independent points with the uniform [0,1] law into the intervals made up by successive positions of a multipli…