For each n â‰¥ 1, let {Xj,n}1â‰¤jâ‰¤n be a sequence of strictly stationary random variables. In this article, we give some asymptotic weak dependence conditions for the convergence in distribution of theâ€¦ (More)

In this article, we consider a sequence (Nn)nâ‰¥1 of point processes, whose points lie in a subset E of R\{0}, and satisfy an asymptotic independence condition. Our main result gives some necessary andâ€¦ (More)

Abstract: Branching processes are classical growth models in cell kinetics. In their construction, it is usually assumed that cell lifetimes are independent random variables, which has been provedâ€¦ (More)

We consider the 2D stochastic Ising model evolving according to the Glauber dynamics at zero temperature. We compute the initial drift for droplets which are suitable approximations of smoothâ€¦ (More)

We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers of new cells areâ€¦ (More)

Let, for each n âˆˆ N, (Xi,n)05i5n be a triangular array of stationary, centered, square integrable and associated real valued random variables satisfying the weakly dependence condition lim Nâ†’N0 limâ€¦ (More)

On the strong consistency of the kernel estimator of extreme conditional quantiles. 2014. <hal-00956351> HAL is a multidisciplinary open access archive for the deposit and dissemination of scientificâ€¦ (More)