Buffon needles landing near Sierpinski gasket

Details Buffon needles landing near Sierpinski gasket Buffon needles landing near Sierpinski gasket

2009-05-02

arxiv.org/abs/0905.0207v2

Mathematics

Classical Analysis and ODEs

28 pages

Scientific paper

In this paper we modify the method of Nazarov, Peres, and Volberg "The power
law for the Buffon needle probability of the four-corner Cantor set",
arXiv:0801.2942, to get an estimate from above of the Buffon needle probability
of the $n$--th partially constructed Sierpinski gasket of Hausdorff dimension
1.

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