Invariance of the normalized Minkowski content with respect to the ambient space

Maja Resman

Chaos, Solitons & Fractals, 2013, vol. 57, issue C, 123-128

Abstract: It is easy to show that the lower and the upper box dimensions of a bounded set in Euclidean space are invariant with respect to the ambient space. In this article we show that the Minkowski content of a Minkowski measurable set is also invariant with respect to the ambient space when normalized by an appropriate constant. In other words, the value of the normalized Minkowski content of a bounded, Minkowski measurable set is intrinsic to the set.

Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:57:y:2013:i:c:p:123-128

DOI: 10.1016/j.chaos.2013.10.001

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