Abstract
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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Partially supported by the MNiSW grant N201 607640 (Poland).
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Peres, Y., Rams, M. Projections of the natural measure for percolation fractals. Isr. J. Math. 214, 539–552 (2016). https://doi.org/10.1007/s11856-016-1343-4
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DOI: https://doi.org/10.1007/s11856-016-1343-4