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Invariance of the generalized Minkowski content with respect to the ambient space (CROSBI ID 197591)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Resman, Maja Invariance of the generalized Minkowski content with respect to the ambient space // Chaos, solitons and fractals, 57 (2013), 123-128. doi: 10.1016/j.chaos.2013.10.001

Podaci o odgovornosti

Resman, Maja

engleski

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

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.

box dimension; Minkowski content; normalized Minkowski content; Minkowski measurability

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Podaci o izdanju

57

2013.

123-128

objavljeno

0960-0779

10.1016/j.chaos.2013.10.001

Povezanost rada

Matematika

Poveznice
Indeksiranost