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A strong invariance principle for two-dimensional random walk in random scenery |
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| Affiliation: | 1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O.Box 127, H-1364 Budapest, Hungary;2. Institut für Statistik und Wahrscheinlichkeitstheorie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/107, Vienna, Austria;3. Laboratoire de Probabilités UMR 7599, Université Paris VI, 4 Place Jussieu, F-75252 Paris Cedex 05, France |
| Abstract: | We present a strong approximation of two-dimensional Kesten–Spitzer random walk in random scenery by Brownian motion. |
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