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math.AP2009
Buffon's needle landing near Besicovitch irregular self-similar sets
Matt Bond, Alexander Volberg
In this paper we get an estimate of Favard length of an arbitrary neighbourhood of an arbitrary self-similar Cantor set. Consider closed disjoint discs of radius inside t…
math.AP2008★ 1 cited
Estimates from below of the Buffon noodle probability for undercooked noodles
Matthew Bond, Alexander Volberg
Let $\Cant_n$ be the -th generation in the construction of the middle-half Cantor set. The Cartesian square $\K_n$ of $\Cant_n$ consists of squares of side-length …