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Zbl 0608.28001
Peyrière, Jacques
Comparaison de deux notions de dimension. (Comparison of two notions of dimension). (French)
[J] Bull. Soc. Math. Fr. 114, 97-103 (1986). ISSN 0037-9484

A random planar set is defined à la Cantor by taking the intersection of a countable family of unions of rectangles which are flatter and flatter as their diameter tends to zero. It is established a relation which links the Hausdorff dimension of this set and its dimension associated to a pseudo-metric.
[O.Lipovan]
MSC 2000:
*28A35 Measures and integrals in product spaces
28A75 Geometric measure theory

Keywords: random planar set; Hausdorff dimension; dimension associated to a pseudo- metric

Cited in: Zbl 0755.60012

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