Conditioned 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
The asymptotic behavior of a subcritical Branching Process in Random Environment (BPRE) starting wit...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
AbstractLimit theorems for the multitype branching random walk as n → ∞ are given (n is the generati...
International audienceConditioned on the generating functions of offspring distribution, we study th...
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...
AbstractWe determine the asymptotic behaviour of the survival probability of a branching process in ...
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of...
Let $Z_{n}$ be the number of individuals in a subcritical BPRE evolving in the environment generated...
Dans ce mémoire, nous traitons d'une généralisation des processus de Galton-Watson connue sous le no...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
AbstractThis paper considers the asymptotic theory of the varying environment Galton–Watson process ...
International audienceWe study the asymptotics of the survival probability for the critical and deco...
Los procesos de ramificación son una parte de las matemáticas que trata de explicar el crecimiento o ...
We study a multi-type branching process in i.i.d. random environment. Assuming that the associated r...
The asymptotic behavior of a subcritical Branching Process in Random Environment (BPRE) starting wit...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
AbstractLimit theorems for the multitype branching random walk as n → ∞ are given (n is the generati...
International audienceConditioned on the generating functions of offspring distribution, we study th...
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...
AbstractWe determine the asymptotic behaviour of the survival probability of a branching process in ...
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of...
Let $Z_{n}$ be the number of individuals in a subcritical BPRE evolving in the environment generated...
Dans ce mémoire, nous traitons d'une généralisation des processus de Galton-Watson connue sous le no...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
AbstractThis paper considers the asymptotic theory of the varying environment Galton–Watson process ...
International audienceWe study the asymptotics of the survival probability for the critical and deco...
Los procesos de ramificación son una parte de las matemáticas que trata de explicar el crecimiento o ...
We study a multi-type branching process in i.i.d. random environment. Assuming that the associated r...
The asymptotic behavior of a subcritical Branching Process in Random Environment (BPRE) starting wit...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
AbstractLimit theorems for the multitype branching random walk as n → ∞ are given (n is the generati...