Buffon needles landing near Sierpinski gasket

Abstract

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.

28 pages

References in corpus (2)

• The power law for the Buffon needle probability of the four-corner Cantor set
• Transport and mixing by internal waves in stellar interiors: effect of the Coriolis force