Di Persio, L.:
Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.1, p. 179-206, (English)
pdf (381 Kb), djvu (246 Kb). | MR 2605919 | Zbl 1202.60164
Sunto
We give a result concerning the correction to the Central Limit Theorem for a Random Walk on the lattice $\mathbf{Z}^{2}$ which interacts with a random environment under a small randomness condition. Our main theorem close a gap which dates back to seminal works by Boldrighini, Minlos and Pellegrinotti, see [3], [8] and [9]. Asymptotic behaviour of the corrections to the average and the covariance matrix in dimension $\nu = 1,2$ are also presented.
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Con il contributo del Ministero per i Beni e le Attività Culturali