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Minkowski content

Known as: Minkowski measure 
The Minkowski content (named after Hermann Minkowski), or the boundary measure, of a set is a basic concept that uses concepts from geometry and… 
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Related topics

Related topics

5 relations
Dirac delta functionFractalHausdorff measureIsoperimetric inequality

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2015
Review
2015
Topology of neutral hydrogen distribution with the Square Kilometer Array
Morphology of the complex HI gas distribution can be quantified by statistics like the Minkowski functionals, and can provide a… 
2014
2014
On the estimation of the mean density of random closed sets
Highly Cited
2011
Highly Cited
2011
Topological susceptibility and contact term in QCD: A toy model
We study a number of different ingredients related to $\theta$ dependence, the non-dispersive contribution in topological… 
2011
2011
Fractal Curvature Measures and Minkowski Content for Limit Sets of Conformal Function Systems
We characterise fractal sets arising from conformal iterated function systems (cIFS) and conformal graph directed Markov systems… 
2011
2011
Fractal oscillations of self-adjoint and damped linear differential equations of second-order
2008
2008
On the Minkowski Measure
The Minkowski Question Mark function relates the continued-fraction representation of the real numbers, to their binary expansion… 
2005
2005
Stability of the Minkowski Measure of Asymmetry for Convex Bodies
Abstract Given a convex body $C\subset R^n$ (i.e., a compact convex set with nonempty interior), for $x\in$ {\it int}$(C)$, the… 
2004
2004
THE SMOLYANOV SURFACE MEASURE ON TRAJECTORIES IN A RIEMANNIAN MANIFOLD
It has been shown in Refs. 2–6 that two natural definitions of surface measures, on the space of continuous paths in a compact… 
2002
2002
On asymmetry of some convex bodies
We determine Minkowski’s measure of asymmetry for convex hulls of a point and some sets for which the asymmetry is known. Some… 
2000
2000
Remarks on minkowski symmetrizations
Here we extend a result by J. Bourgain, J. Lindenstrauss, V.D. Milman on the number of random Minkowski symmetrizations needed to… 
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