Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0991.28009
Jenkinson, Oliver; Pollicott, Mark
Computing the dimension of dynamically defined sets: $E_2$ and bounded continued fractions. (English)
[J] Ergodic Theory Dyn. Syst. 21, No.5, 1429-1445 (2001). ISSN 0143-3857; ISSN 1469-4417/e

The authors present an approach to the computation of the Hausdorff dimension of certain conformal self-similar sets. They illustrate the method by computing the Hausdorff dimension of $E_2$, a set which consists of those real numbers whose continued fraction expansions contain only the digits 1 and 2.
[Tian You Hu (Green Bay)]

MSC 2000:: *28A80 Fractals
28A78 Hausdorff measures

Keywords: Hausdorff dimension; conformal self-similar sets

Cited in: Zbl 1089.28006

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]