Packing dimension

Known as: Dimension (disambiguation), Packing measure 
In mathematics, the packing dimension is one of a number of concepts that can be used to define the dimension of a subset of a metric space. Packing… (More)
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2012
2012
Recently, the Dimension Problem for effective Hausdorff dimension was solved by J. Miller in [Mil], where the author constructs a… (More)
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2010
2010
The concern of this paper is with effective packing dimension. This concept can be traced back to the work of Borel and Lebesgue… (More)
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2009
2009
We prove that the packing dimension of any mean porous Radon measure on R d may be estimated from above by a function which… (More)
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2008
2008
In order to compute the packing dimension of orthogonal projections Falconer and Howroyd (1997) introduced a family of packing… (More)
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2008
2008
A relatively longstanding question in algorithmic randomness is Jan Reimann’s question whether there is a Turing cone of broken… (More)
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2007
2007
We construct a Π1-class X that has classical packing dimension 0 and effective packing dimension 1. This implies that, unlike in… (More)
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2004
2004
The two most important notions of fractal dimension are Hausdorff dimension, developed by Hausdorff (1919), and packing dimension… (More)
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Highly Cited
2002
Highly Cited
2002
We propose a new algorithm to estimate the intrinsic dimensi on of data sets. The method is based on geometric properties of the… (More)
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1996
1996
  • Christopher J. Bishop, Yuval Peres
  • 1996
We show that for any analytic set A in Rd, its packing dimension dimP (A) can be represented as supB{dimH(A×B) − dimH(B)} , where… (More)
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1996
1996
We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim… (More)
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