Positive analytic capacity but zero Buffon needle probability

DOI10.2140/pjm.1988.133.99zbMath0653.30016OpenAlexW2066811174MaRDI QIDQ1107661

Takafumi Murai, Peter W. Jones

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.133.99

zbMATH Keywords

crankanalytic capacitynull setsBuffon length

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Capacity and harmonic measure in the complex plane (30C85)

Related Items (8)

Painlevé's problem and the semiadditivity of analytic capacity. ⋮ Sublinear measures, Menger curvature, and Hausdorff dimension ⋮ Singular integrals, analytic capacity and rectifiability ⋮ Analytic capacity and projections ⋮ The power law for the Buffon needle probability of the four-corner Cantor set ⋮ A set with finite curvature and projections of zero length ⋮ Accretive system \(Tb\)-theorems on nonhomogeneous spaces. ⋮ Rectifiable sets and the traveling salesman problem

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