International audienceConditioned on the generating functions of offspring distribution, we study the asymp-totic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d. random environments by using limits theorems for products of positive random matrices. Under some certain assumptions, the survival probability is proportional to 1/ √ n
We consider a class of multitype Galton-Watson branching processes with a countably infinite type se...
International audienceLet (Z n) n 0 be a branching process in a random environment defined by a Mark...
We introduce a branching process in a sparse random environment as an intermediate model between a G...
International audienceConditioned on the generating functions of offspring distribution, we study th...
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of...
The theory of multi-type branching process in i.i.d. environment is considerably less developed than...
La théorie des processus de branchement multi-type en environnement i.i.d. est considérablement moin...
We study a multi-type branching process in i.i.d. random environment. Assuming that the associated r...
We study the asymptotic behavior of the probability of non extinction of a weakly subcritical mult...
This review paper presents the known results on the asymptotics of the survival probability and limi...
AbstractWe determine the asymptotic behaviour of the survival probability of a branching process in ...
Abstract—This review paper presents the known results on the asymptotics of the survival probability...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
We present some limit theorems for branching processes in random environments, which can be found in...
We present two iterative methods for computing the global and partial extinction probability vectors...
We consider a class of multitype Galton-Watson branching processes with a countably infinite type se...
International audienceLet (Z n) n 0 be a branching process in a random environment defined by a Mark...
We introduce a branching process in a sparse random environment as an intermediate model between a G...
International audienceConditioned on the generating functions of offspring distribution, we study th...
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of...
The theory of multi-type branching process in i.i.d. environment is considerably less developed than...
La théorie des processus de branchement multi-type en environnement i.i.d. est considérablement moin...
We study a multi-type branching process in i.i.d. random environment. Assuming that the associated r...
We study the asymptotic behavior of the probability of non extinction of a weakly subcritical mult...
This review paper presents the known results on the asymptotics of the survival probability and limi...
AbstractWe determine the asymptotic behaviour of the survival probability of a branching process in ...
Abstract—This review paper presents the known results on the asymptotics of the survival probability...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
We present some limit theorems for branching processes in random environments, which can be found in...
We present two iterative methods for computing the global and partial extinction probability vectors...
We consider a class of multitype Galton-Watson branching processes with a countably infinite type se...
International audienceLet (Z n) n 0 be a branching process in a random environment defined by a Mark...
We introduce a branching process in a sparse random environment as an intermediate model between a G...