AbstractA martingale, previously used to prove the classical almost sure convergence of the normed supercritical Galton-Watson branching process with finite mean without using probability generating functions, is here used to study similar behaviour for certain processes with infinite mean
Renormalized sequences of Galton Watson processes converge to Continuous State Branching Processes (...
Consider a $d$-type supercritical branching process $Z_n^{i} =(Z_n^i(1), \cdots, Z_n^i(d)),\,n\...
A branching process counted by a random characteristic has been defined as a process which at time t...
AbstractA martingale, previously used to prove the classical almost sure convergence of the normed s...
A proof is given of the basic normed-convergence theorem for the ordinary supercritical Bienaymé-Gal...
International audienceWe consider a supercritical branching process $(Z_n)$ in an independent and ...
AbstractIt is shown that any real-valued sequence of random variables {Xn} converging in probability...
International audienceLet $(Z_n)$ be a supercritical branching process in a random environment $\xi$...
AbstractA functional central limit theorem is obtained for martingales which are not uniformly asymp...
Let {Zn} be a supercritical Galton-Watson process in varying environments. It is known that Zn when ...
We present some limit theorems for branching processes in random environments, which can be found in...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
AbstractIt is known that, for a branching process in a random environment (BPRE) {Zn}∞n=0 having con...
The Kesten-Stigum theorem for the one-type Galton-Watson process gives necessary and sufficient cond...
AbstractA proof is given of the basic normed-convergence theorem for the ordinary supercritical Bien...
Renormalized sequences of Galton Watson processes converge to Continuous State Branching Processes (...
Consider a $d$-type supercritical branching process $Z_n^{i} =(Z_n^i(1), \cdots, Z_n^i(d)),\,n\...
A branching process counted by a random characteristic has been defined as a process which at time t...
AbstractA martingale, previously used to prove the classical almost sure convergence of the normed s...
A proof is given of the basic normed-convergence theorem for the ordinary supercritical Bienaymé-Gal...
International audienceWe consider a supercritical branching process $(Z_n)$ in an independent and ...
AbstractIt is shown that any real-valued sequence of random variables {Xn} converging in probability...
International audienceLet $(Z_n)$ be a supercritical branching process in a random environment $\xi$...
AbstractA functional central limit theorem is obtained for martingales which are not uniformly asymp...
Let {Zn} be a supercritical Galton-Watson process in varying environments. It is known that Zn when ...
We present some limit theorems for branching processes in random environments, which can be found in...
AbstractAllowing an offspring probability distribution that has infinite variances, we establish the...
AbstractIt is known that, for a branching process in a random environment (BPRE) {Zn}∞n=0 having con...
The Kesten-Stigum theorem for the one-type Galton-Watson process gives necessary and sufficient cond...
AbstractA proof is given of the basic normed-convergence theorem for the ordinary supercritical Bien...
Renormalized sequences of Galton Watson processes converge to Continuous State Branching Processes (...
Consider a $d$-type supercritical branching process $Z_n^{i} =(Z_n^i(1), \cdots, Z_n^i(d)),\,n\...
A branching process counted by a random characteristic has been defined as a process which at time t...
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