Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media
We give a result concerning the correction to the Central Limit Theorem for a Random Walk on the lattice 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 are also presented.