Geodesic
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/