Statistically self-affine sets: Hausdorff and box dimensions

dc.contributor.author	Gatzouras, D	en
dc.contributor.author	Lalley, S	en
dc.date.accessioned	2014-06-06T06:42:39Z
dc.date.available	2014-06-06T06:42:39Z
dc.date.issued	1994	en
dc.identifier.uri	http://dx.doi.org/10.1007/BF02214277	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/743
dc.subject	hausdorff dimension	en
dc.subject	Random Set	en
dc.title	Statistically self-affine sets: Hausdorff and box dimensions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02214277	en
heal.publicationDate	1994	en
heal.abstract	We introduce a class of random sets in ℝ2 that include McMullen's “generalized Sierpinski carpets”. We give exact expressions for the Hausdorff and Bouligand-Minkowski (box) dimensions of these sets, and find in particular that typically they are not equal. Our expression for the Hausdorff dimension isnot what one would expect by analogy with McMullen's formula for the Hausdorff dimension of	en
heal.journalName	Journal of Theoretical Probability	en
dc.identifier.doi	10.1007/BF02214277	en