Necessary and sufficient condition for the functional central limit theorem in H¨older spaces

The central limit theorem (1.12) for the simple exclusion process was established by Ferrari and Fonte [5] in two cases, either when the η-process is in equilibrium, or when g(x) is

The quantities g a (i, j), which appear in Theorem 1, involve both the state of the system at time n and the first return time to a fixed state a. We can further analyze them and get

For instance, to prove the convex duality between the negentropy −s and the pressure p, we prove the equality p = (−s) ∗ using the convex tightness of the probability measures on

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

The question whether for strictly stationary sequences with finite second moments and a weaker type (α, β, ρ) of mixing the central limit theorem implies the weak invariance

Corollary 3.8. ω) in the stationary case for positives matrices in SL(2, Z ), with (for trigonometric polynomials) a criterion of non-nullity of the variance. Moreover, when the

In this paper we prove a central limit theorem of Lindeberg-Feller type on the space Pn- It generalizes a theorem obtained by Faraut ([!]) for n = 2. To state and prove this theorem

Since every separable Banach space is isometric to a linear subspace of a space C(S), our central limit theorem gives as a corollary a general central limit theorem for separable