Wang, Wen-Sheng Strong laws of large numbers for random walks in random sceneries. (English) Zbl 1131.60090 Acta Math. Appl. Sin., Engl. Ser. 23, No. 3, 495-500 (2007). Summary: In this paper, we study strong laws of large numbers for random walks in random sceneries. Some mild sufficient conditions for the validity of strong laws of large numbers are obtained. Cited in 1 Document MSC: 60K37 Processes in random environments 60F15 Strong limit theorems Keywords:random walk in random scenery; law of large numbers PDFBibTeX XMLCite \textit{W.-S. Wang}, Acta Math. Appl. Sin., Engl. Ser. 23, No. 3, 495--500 (2007; Zbl 1131.60090) Full Text: DOI References: [1] Bolthausen, E. A central limit theorem for two-dimensional random walks in random sceneries. Ann. Probab., 17:108–115 (1989) · Zbl 0679.60028 · doi:10.1214/aop/1176991497 [2] Csáki, E., König, W., Shi, Z. An embedding for the Kesten-Spitzer random walk in random scenery. Stoch. Process. Appl., 82:283–292 (1999) · Zbl 0997.60079 · doi:10.1016/S0304-4149(99)00036-8 [3] Kesten, H., Spitzer, F. A limit theorem related to a new class of self-similar process. Z. Wahrsch. verw. Gebiete, 50:5–25 (1979) · Zbl 0396.60037 · doi:10.1007/BF00535672 [4] Khoshnevisan, D., Lewis, T.M. A law of the iterated logarithm for stable processes in random scenery. Stoch. Process. Appl., 74:89–121 (1998) · Zbl 0932.60033 · doi:10.1016/S0304-4149(97)00105-1 [5] Lewis, T.M. A self normalized law of the iterated logarithm for random walk in random scenery. J. Theoret. Probab., 5:629–659 (1992) · Zbl 0925.60075 · doi:10.1007/BF01058723 [6] Lewis, T.M. A law of the iterated logarithm for random walk in random scenery with deterministic normalizers. J. Theoret. Probab., 6:209–230 (1993) · Zbl 0770.60032 · doi:10.1007/BF01047572 [7] Petrov, V.V. Limit Theorem of Probability. Oxford Science Publications, Oxford, 1995 · Zbl 0826.60001 [8] Taqqu, M.S. Weak convergence to fractional Brownian motion and to the Rosenblatt process. Z. Wahrsch. verw. Gebiete, 31:287–302 (1975) · Zbl 0303.60033 · doi:10.1007/BF00532868 [9] Wang, W. Weak convergence to fractional Brownian motion in Brownian motion. Probab. Th. Their Fields, 126:203–220 (2003) · Zbl 1112.60090 · doi:10.1007/s00440-002-0249-8 [10] Zhang, L.X. Strong approximation for the generalied Kesten-Spitzer random walk of independent scenery. Science in China, 31:230–241 (2001) [11] Zhang, L.X. The strong approximation for Kesten-Spitzer random walk. Statist. Probab. Lett., 53:21–26 (2001) · Zbl 0987.60061 · doi:10.1016/S0167-7152(00)00243-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.