Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media

L. Di Persio

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 1, page 179-206
  • ISSN: 0392-4041

Abstract

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We give a result concerning the correction to the Central Limit Theorem for a Random Walk on the lattice 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 ν = 1 , 2 are also presented.

How to cite

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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 3.1 (2010): 179-206. <http://eudml.org/doc/290669>.

@article{DiPersio2010,
abstract = {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.},
author = {Di Persio, L.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {179-206},
publisher = {Unione Matematica Italiana},
title = {Anomalous Behaviour of the Correction to the Central Limit Theorem for a Model of Random Walk in Random Media},
url = {http://eudml.org/doc/290669},
volume = {3},
year = {2010},
}

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 dell'Unione Matematica Italiana
DA - 2010/2//
PB - Unione Matematica Italiana
VL - 3
IS - 1
SP - 179
EP - 206
AB - 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.
LA - eng
UR - http://eudml.org/doc/290669
ER -

References

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