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Dynamical Systems and Numerical Analysis: the Study of Measures generated by Uncountable I.F.S

Published 19 May 2010 in math.DS, math-ph, math.MP, math.NA, and nlin.CD | (1005.3395v1)

Abstract: Measures generated by Iterated Function Systems composed of uncountably many one--dimensional affine maps are studied. We present numerical techniques as well as rigorous results that establish whether these measures are absolutely or singular continuous.

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