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Strong law of large numbers for random walks in weakly dependent random scenery

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  • Sharipov, Sadillo

Abstract

In this brief note, we study the strong law of large numbers for random walks in random scenery. Under the assumptions that the random scenery is non-stationary and satisfies weakly dependent condition with an appropriate rate, we establish strong law of large numbers for random walks in random scenery. Our results extend the known results in the literature.

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  • Sharipov, Sadillo, 2026. "Strong law of large numbers for random walks in weakly dependent random scenery," Statistics & Probability Letters, Elsevier, vol. 227(C).
    • Handle: RePEc:eee:stapro:v:227:y:2026:i:c:s016771522500166x
    DOI: 10.1016/j.spl.2025.110521
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