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• W1969071946 abstract "We present a systematic method of approximating, to an arbitrary accuracy, a probability measure µ on x = [0,1] q , q 1, with invariant measures for iterated function systems by matching its moments. There are two novel features in our treatment. 1. An infinite set of fixed affine contraction maps on , w 2 , · ·· }, subject to an ‘ ϵ -contractivity' condition, is employed. Thus, only an optimization over the associated probabilities p i is required. 2. We prove a collage theorem for moments which reduces the moment matching problem to that of minimizing the collage distance between moment vectors. The minimization procedure is a standard quadratic programming problem in the p i which can be solved in a finite number of steps. Some numerical calculations for the approximation of measures on [0, 1] are presented." @default.
• W1969071946 created "2016-06-24" @default.
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• W1969071946 creator A5077444272 @default.
• W1969071946 date "1995-09-01" @default.
• W1969071946 modified "2023-09-30" @default.
• W1969071946 title "Solving the inverse problem for measures using iterated function systems: a new approach" @default.
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• W1969071946 doi "https://doi.org/10.2307/1428134" @default.
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