The exact Power Law for Buffon's needle landing near some Random Cantor Sets

Shiwen Zhang

Type: Preprint

Publication Date: 2018-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.1801.06904

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The exact power law for Buffon’s needle landing near some random Cantor sets	2019	Shiwen Zhang
+	The Buffon's needle problem for random planar disk-like Cantor sets	2022	Dimitris Vardakis Alexander Volberg
+ PDF Chat	The Buffon's needle problem for random planar disk-like Cantor sets	2023	Dimitris Vardakis Alexander Volberg
+ PDF Chat	Buffon’s needle estimates for rational product Cantor sets	2014	Matthew Bond Izabella Łaba Alexander Volberg
+	Buffon's needle estimates for rational product Cantor sets	2011	Matthew Bond Izabella Łaba Alexander Volberg
+	Buffon's needle estimates for rational product Cantor sets	2011	Matthew Bond Izabella Łaba Alexander Volberg
+	An estimate from below for the Buffon needle probability of the four-corner Cantor set	2008	Michael Bateman Alexander Volberg
+ PDF Chat	The power law for the Buffon needle probability of the four-corner Cantor set	2010	Fëdor Nazarov Yuval Peres Alexander Volberg
+	The power law for the Buffon needle probability of the four-corner Cantor set	2008	Fëdor Nazarov Yuval Peres Alexander Volberg
+ PDF Chat	Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set	2022	Laura Cladek Blair Davey Krystal Taylor
+	Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set	2020	Laura Cladek Blair Davey Krystal Taylor
+ PDF Chat	An estimate from below for the Buffon needle probability of the four-corner Cantor set	2010	Michael Bateman Alexander Volberg
+	Buffon needle lands in $ε$-neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $\|\logε\|^{-c}$	2009	Matt Bond Alexander Volberg
+	Buffon's needle landing near Besicovitch irregular self-similar sets	2009	Matt Bond Alexander Volberg
+	Buffon needle lands in ϵ-neighborhood of a 1-dimensional Sierpinski Gasket with probability at most <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mo stretchy="false">\|</mml:mo><mml:mi mathvariant="normal">log</mml:mi><mml:mspace width="0.2em" /><mml:mi>ϵ</mml:mi><mml:mo stretchy="false">\|</mml:mo></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:msup></mml:math>	2010	Matthew Bond Alexander Volberg
+	The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket	2009	Matthew Bond Alexander Volberg
+	Buffon needle lands in $\epsilon$-neighborhood of a 1-Dimensional Sierpinski Gasket with probability at most $\|\log\epsilon \|^{-c}$	2009	Matt Bond Alexander Volberg
+	Buffon's needle landing near Besicovitch irregular self-similar sets	2009	Matt Bond Alexander Volberg
+ PDF Chat	Buffon's needle landing near Besicovitch irregular self-similar sets	2012	Matthew Bond Alexander Volberg
+	Random matrices and random boxes	2011	Linh V. Tran

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (5)

Action	Title	Year	Authors
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
+ PDF Chat	A quantitative version of the Besicovitch projection theorem via multiscale analysis	2008	Terence Tao
+	Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions	2000	Yuval Peres Wilhelm Schlag
+	Sets with Arbitrarily Slow Favard Length Decay	2017	Bobby Wilson
+ PDF Chat	The Favard length of product Cantor sets	2010	Izabella Łaba Kelan Zhai