Geodesic
Slowdown estimates and central limit theorem for random walks in random environment
Journal of the European Mathematical Society, Tome 2 (2000) no. 2, pp. 93-143 Cet article a éte moissonné depuis la source EMS Press

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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 Êd, when dS2. 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 previous work of the author [24], concerning estimates of probabilities of slowdowns for walks which are neutral or biased to the right.
DOI : 10.1007/s100970050001
Classification : 60-XX, 82-XX, 00-XX
Keywords: 
@article{JEMS_2000_2_2_a0,
     author = {Alain-Sol Sznitman},
     title = {Slowdown estimates and central limit theorem for random walks in random environment},
     journal = {Journal of the European Mathematical Society},
     pages = {93--143},
     year = {2000},
     volume = {2},
     number = {2},
     doi = {10.1007/s100970050001},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970050001/}
}
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Alain-Sol Sznitman. Slowdown estimates and central limit theorem for random walks in random environment. Journal of the European Mathematical Society, Tome 2 (2000) no. 2, pp. 93-143. doi: 10.1007/s100970050001

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