# Slowdown estimates and central limit theorem for random walks in random environment

Journal of the European Mathematical Society (2000)

- Volume: 002, Issue: 2, page 93-143
- ISSN: 1435-9855

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topSznitman, Alain-Sol. "Slowdown estimates and central limit theorem for random walks in random environment." Journal of the European Mathematical Society 002.2 (2000): 93-143. <http://eudml.org/doc/277558>.

@article{Sznitman2000,

abstract = {This work is concerned with asymptotic properties of multi-dimensional random
walks in random environment. Under Kalikow’s condition, we show a central limit theorem for random walks in random environment on $\mathbb \{Z\}^d$, when $d>2$. We also derive tail estimates on the probability of slowdowns. These latter estimates are of special interest due to the natural interplay between slowdowns and the presence of traps in the medium. The tail behavior of the renewal time constructed in [25] plays an important role in the investigation of both problems. This article also improves the previouswork of the author [24], concerning estimates of probabilities of slowdowns for walks which are neutral or biased to the right.},

author = {Sznitman, Alain-Sol},

journal = {Journal of the European Mathematical Society},

keywords = {multi-dimensional random walk; Kalikow’s condition; slowdown; trap; random walks in random environment; central limit theorem; large deviations},

language = {eng},

number = {2},

pages = {93-143},

publisher = {European Mathematical Society Publishing House},

title = {Slowdown estimates and central limit theorem for random walks in random environment},

url = {http://eudml.org/doc/277558},

volume = {002},

year = {2000},

}

TY - JOUR

AU - Sznitman, Alain-Sol

TI - Slowdown estimates and central limit theorem for random walks in random environment

JO - Journal of the European Mathematical Society

PY - 2000

PB - European Mathematical Society Publishing House

VL - 002

IS - 2

SP - 93

EP - 143

AB - This work is concerned with asymptotic properties of multi-dimensional random
walks in random environment. Under Kalikow’s condition, we show a central limit theorem for random walks in random environment on $\mathbb {Z}^d$, when $d>2$. We also derive tail estimates on the probability of slowdowns. These latter estimates are of special interest due to the natural interplay between slowdowns and the presence of traps in the medium. The tail behavior of the renewal time constructed in [25] plays an important role in the investigation of both problems. This article also improves the previouswork of the author [24], concerning estimates of probabilities of slowdowns for walks which are neutral or biased to the right.

LA - eng

KW - multi-dimensional random walk; Kalikow’s condition; slowdown; trap; random walks in random environment; central limit theorem; large deviations

UR - http://eudml.org/doc/277558

ER -

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