Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media
Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 179-206
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2010_9_3_1_a8,
author = {Di Persio, L.},
title = {Anomalous {Behaviour} of the {Correction} to the {Central} {Limit} {Theorem} for a {Model} of {Random} {Walk} in {Random} {Media}},
journal = {Bollettino della Unione matematica italiana},
pages = {179--206},
publisher = {mathdoc},
volume = {Ser. 9, 3},
number = {1},
year = {2010},
zbl = {1202.60164},
mrnumber = {2605919},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a8/}
}
TY - JOUR AU - Di Persio, L. TI - Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media JO - Bollettino della Unione matematica italiana PY - 2010 SP - 179 EP - 206 VL - 3 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a8/ LA - en ID - BUMI_2010_9_3_1_a8 ER -
%0 Journal Article %A Di Persio, L. %T Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media %J Bollettino della Unione matematica italiana %D 2010 %P 179-206 %V 3 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a8/ %G en %F BUMI_2010_9_3_1_a8
Di Persio, L. Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 1, pp. 179-206. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_1_a8/