A central limit theorem for stationary random fields

The understanding of these models in the case where the orientations or the charges are not independently distributed requires functional limit theorems for Z-random walk in

Keywords: Random walk; Ballistic; Random environment; Central limit theorem; Invariance principle; Point of view of the particle; Environment process; Green function.. Here is a

Key words: central limit theorem, invariance principle, strictly stationary process, maximal inequality, strong mixing, absolute regularity, Markov

Motivated by random evolutions which do not start from equilibrium, in a recent work, Peligrad and Voln´ y (2018) showed that the central limit theorem (CLT) holds for

In the context of this work, we consider functionals which act on these clusters of relevant values and we develop useful lemmas in order to simplify the essential step to establish

In study of the central limit theorem for dependent random variables, the case of martingale difference sequences has played an important role, cf.. Hall and

exponential Young funtions for stationary real random elds whih are bounded.. or satisfy some nite exponential

We then derive rates in the central limit theorem for weighted sums of such randoms fields via an approximation by m-dependent random fields.. Introduction and