Ellipses numbers and geometric measure representations

DOI10.1515/jaa.2011.011zbMath1276.51009OpenAlexW1992844272MaRDI QIDQ2865585

Wolf-Dieter Richter

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.011

zbMATH Keywords

isoperimetric constantstochastic representationMinkowski planedisintegration of Lebesgue measuregeneralized trigonometric functionsgeometric measure representationgeneralized method of indivisiblesgeneralized perimeterintersection-percentage functionellipse numberelliptically contoured Gaussian measure representationgeneralized arc-lengthgeneralized elliptical coordinatesgeneralized uniform distribution on the ellipse

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25)

Related Items (9)

Kullback-Leibler life time testing ⋮ Circle numbers of regular convex polygons ⋮ Modelling with star-shaped distributions ⋮ Classes of geometrically generalized von Mises distributions ⋮ On the ball number function ⋮ Short-term wind speed forecasting in Germany ⋮ Ball numbers of platonic bodies ⋮ Geometric disintegration and star-shaped distributions ⋮ Circle numbers for star discs

Cites Work

• On \(l_{2, p}\) -circle numbers
• Generalized spherical and simplicial coordinates
• The Isoperimetric Problem in the Minkowski Plane

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