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Let $\{\xi(k), k \in \mathbb{Z} \}$ be a stationary sequence of randomvariables with conditions of type $D(u_n)$ and $D'(u_n)$. Let $\{S_n, n \in\mathbb{N} \}$ be a transient random walk in the domain of attraction of astable law. We provide a limit theorem for the maximum of the first $n$ termsof the sequence $\{\xi(S_n), n \in \mathbb{N} \}$ as $n$ goes to infinity. Thispaper extends a result due to Franke and Saigo who dealt with the case wherethe sequence $\{\xi(k), k \in \mathbb{Z} \}$ is i.i.d.

Extremes for transient random walks in random sceneries under weak independence conditions