Buffon needles landing near Sierpinski gasket
Classical Analysis and ODEs
2009-06-10 v2 Combinatorics
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 --th partially constructed Sierpinski gasket of Hausdorff dimension 1.
Keywords
Cite
@article{arxiv.0905.0207,
title = {Buffon needles landing near Sierpinski gasket},
author = {Matthew Bond and Alexander Volberg},
journal= {arXiv preprint arXiv:0905.0207},
year = {2009}
}
Comments
28 pages