Dynamical Systems and Numerical Analysis: the Study of Measures generated by Uncountable I.F.S
arXiv:1005.339510 citationsh-index: 2
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This work addresses a theoretical problem in dynamical systems and measure theory, but its impact is limited to a specialized mathematical domain.
The paper studies measures generated by Iterated Function Systems with uncountably many affine maps, presenting numerical techniques and rigorous results to determine whether these measures are absolutely or singular continuous.
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.