Abstract
We are concerned with the approximation of probability measures on a compact metric space (X, d) by invariant measures of Iterated Function Systems with Place-Dependent Probabilities (IFSPDP). Using the Collage Theorem, we formulate the corresponding inverse problem and look for an IFSPDPs which map a target measure \(\nu \) as close as possible to itself in terms of an appropriate metric on \({\mathscr {M}}(X)\), the space of probability measures on X.
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