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arxiv: 1406.3736 · v1 · pith:P37KSLYQnew · submitted 2014-06-14 · 🧮 math.DS

Projections of the natural measure for percolation fractals

classification 🧮 math.DS
keywords continuousmeasurenaturalpercolationprojectionsabsolutelydensityexcept
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We prove that, with probability 1, all orthogonal projections of the natural measure on a percolation fractal are absolutely continuous and (except for the horizontal and vertical projection) have H\"older continuous density.

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