Bahsoun, WaelBose, ChristopherQuas, Anthony2010-02-192010-02-1920082010-02-19http://hdl.handle.net/1828/2240We give a deterministic representation for position dependent random maps and describe the structure of its set of invariant measures. Our construction generalizes the skew product representation of random maps with constant probabilities. In particular, we establish one-to-one correspondence between eigenfunctions of the Frobenius-Perron (transfer) operator for the random map and that of the skew. An immediate consequence is one-to-one correspondence between absolutely continuous invariant measures (acims) for the position dependent random map and acims for its deterministic representation.enrandom mapskew productabsolutely continuous invariant measuretechnical reports (mathematics and statistics)Technical ReportDepartment of Mathematics and Statistics