Besicovitch-Eggleston Function

Manav Das

Type: Article

Publication Date: 2011-01-01

Citations: 0

DOI: https://doi.org/10.4236/apm.2011.15048

Abstract

In this work we introduce a function based on the well-known Besicovitch-Eggleston sets, and prove that the Hausdorff dimension of its graph is 2.

Locations

Advances in Pure Mathematics - View - PDF

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Works Cited by This (14)

Action	Title	Year	Authors
+	Techniques in fractal geometry	1997	K. J. Falconer
+ PDF Chat	Hausdorff dimension in probability theory II	1961	Patrick Billingsley
+ PDF Chat	Billingsley Dimension in Probability Spaces	1981	Helmut Cajar
+	Applications of multifractal divergence points to sets of numbers defined by their $N$ -adic expansion	2004	L. Olsen
+	On the Hausdorff dimension of generalized Besicovitch-Eggleston sets of d-tuples of numbers	2004	L. Olsen
+	Billingsley’s packing dimension	2007	Manav Das
+	THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES	1949	H. G. Eggleston
+	Dimension of Besicovitch–Eggleston sets in countable symbolic space	2010	Aihua Fan Lingmin Liao Jihua Ma Baowei Wang
+	Applications of multifractal divergence points to some sets of d-tuples of numbers defined by their N-adic expansion	2004	L. Olsen
+	Distribution of frequencies of digits via multifractal analysis	2002	Luís Barreira Benoît Saussol Jörg Schmeling