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arxiv: 1005.3395 · v1 · pith:FWFJIMAOnew · submitted 2010-05-19 · 🧮 math.DS · cs.NA· math-ph· math.MP· math.NA· nlin.CD

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

classification 🧮 math.DS cs.NAmath-phmath.MPmath.NAnlin.CD
keywords measuresgeneratednumericalsystemsabsolutelyaffineanalysiscomposed
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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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