17 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
Buffon needle lands in -neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most
Matt Bond, Alexander Volberg
In recent years, relatively sharp quantitative results in the spirit of the Besicovitch projection theorem have been obtained for self-similar sets by studying the norms of t…
The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket
Matthew Bond, Alexander Volberg
In this paper we get a power estimate from above of the probability that Buffon's needle will land within distance 3^{-n} of Sierpinski's gasket of Hausdorff dimension 1. In compar…
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…
Buffon needles landing near Sierpinski gasket
Matthew Bond, Alexander Volberg
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 estima…