Hausdorff measure

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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1959-2018
0204019592018

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2014
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
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
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
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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