"A strong invariance principle for two-dimensional random walk in random scenery"

Endre Csáki, Pál Révész and Zhan Shi

We present a strong approximation of two-dimensional Kesten-Spitzer random walk in random scenery by Brownian motion.

Keywords: Random walk in random scenery, invariance principle, Skorokhod embedding.

2000 Mathematics Subject Classification: 60G50; 60F17.