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Buffon needle lands in ϵ-neighborhood of a 1-dimensional Sierpinski Gasket with probability at most

{| \log ϵ |}^{- c}

Matthew Bond; Alexander Volberg

Comptes Rendus. Mathématique, Volume 348 (2010) p. 653-656

How likely is Buffon's ring toss to intersect a planar Cantor set?

Matthew Bond

Comptes Rendus. Mathématique, Volume 348 (2010) p. 963-966