This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems, Series A following peer review. The definitive publisher-authenticated version, BAHSOUN, W., BOSE, C. and QUAS, A., 2008. Deterministic representation for position-dependent random maps. Discrete and Continuous Dynamical Systems. Series A, 22 (3), pp.529-540, is available online at: https://doi.org/10.3934/dcds.2008.22.529.
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