Matthew Bond

activity

20082013

most citedQuantitative visibility estimates for unrectifiable sets in the plane

17 citations · 22 across the 6 of their papers we have counts for

collaborators

Showing 2009 · math.CAShow all

3 papers · 2 filters

math.CA2009

Buffon needle lands in $ε$ -neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $∣ lo g ε ∣^{- c}$

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 $L^{p}$ norms of t…

math.CA2009★ 1 cited

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…

math.CA2009

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…

Buffon needle lands in ε-neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most ∣logε∣−c

The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket

Buffon needles landing near Sierpinski gasket

Buffon needle lands in $ε$ -neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $∣ lo g ε ∣^{- c}$