A family of random sup-measures with long-range dependence

We obtain estimates for large and moderate deviations for the capacity of the range of a random walk on Z d , in dimension d ≥ 5, both in the upward and downward directions..

In enclosing the introduction, we mention that the argument of this paper can be adapted to weighted branching processes, thus enabling us to improve the results of Bingham and

Actually, the limit analysis of the autocorrelation and distributions of the M -DWPT coefficients is more intricate than presented in [1] and [3] because, as shown below, this

We consider a branching random walk with a random environment in time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of

Exact convergence rates in central limit theorems for a branching ran- dom walk with a random environment in time... Exact convergence rates in central limit theorems for a

Chapter 3 is devoted to establishing limit theorems for products of random matrices which will be used in the following chapters for the study of a branching random walk with

In this work, we address the random corrector problem for ( 6 ) in presence of long- range media, that is, we analyze the behaviour of the random fluctuations between u ε and ¯ u

This growth speed yields new information on the multifractal behavior of the rescaled copies involved in the structure of statistically self-similar Gibbs measures.. Our results