In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in Rn or, more… (More)

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2014

2014

- Jordan R. Bell
- 2014

Here, instead of taking a σ-algebra as given and then defining a measure on this σ-algebra (namely, on the measurable sets), we… (More)

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2012

2012

In an earlier work, joint with R. Kenyon, we computed the Hausdorff dimension of the “multiplicative golden mean shift” defined… (More)

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2012

2012

- Antongiulio Fornasiero, E. Vasquez Rifo
- J. Symb. Log.
- 2012

In [Berarducci-Otero, 2004], the authors define an analogue of Lebesgue measure for bounded definable subsets of an o-minimal… (More)

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2008

2008

- Ma Zhi Chao
- Wuhan University Journal of Natural Sciences
- 2008

We study the Hausdorff measure of linear Cantor setE, on the unit interval, under the strong seperated condition. We give a… (More)

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2006

2006

- András Máthé
- 2006

We show that Hausdorff measures of different dimensions are not Borel isomorphic; that is, the measure spaces (R, B, H) and (R, B… (More)

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2005

2005

- Ludwig Staiger
- J. UCS
- 2005

The paper investigates fixed points and attractors of infinite iterated function systems in Cantor space. By means of the theory… (More)

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2004

2004

- Laura Prat
- 2004

where the supremum is taken over those analytic functions on C \ E such that |f(z)| ≤ 1, for z / ∈ E. It is easily shown that… (More)

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2004

2004

We estimate the Hausdorff measure and dimension of Cantor sets in terms of a sequence given by the lengths of the bounded… (More)

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2003

2003

- RICHARD DELAWARE
- 2003

A set E ⊆ Rn is h-straight if E has finite Hausdorff h-measure equal to its Hausdorff h-content, where h : [0,∞) → [0,∞) is… (More)

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2001

2001

Let F : U ⊂ Rn → Rm be a differentiable function and p < m an integer. If k ≥ 1 is an integer, α ∈ [0, 1] and F ∈ Ck+(α), if we… (More)

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