THE PACKING MEASURE AND SYMMETRIC DERIVATION BASIS MEASURE-II

1992 ◽  
Vol 18 (2) ◽  
pp. 476
Author(s):  
Meinershagen
Keyword(s):  
1996 ◽  
Vol 28 (2) ◽  
pp. 344-345
Author(s):  
Martina Zähle

Let dimH, E be the Hausdorff dimension and dimP, E the packing dimension of the subset E of ℝn given by the unique exponent where the corresponding Hausdorff or packing measure of E jumps from infinity to zero.


2006 ◽  
Vol 74 (3) ◽  
pp. 443-448 ◽  
Author(s):  
H.K. Baek

For a class of homogeneous Cantor sets, we find an explicit formula for their packing dimensions. We then turn our attention to the value of packing measures. The exact value of packing measure for homogeneous Cantor sets has not yet been calculated even though that of Hausdorff measures was evaluated by Qu, Rao and Su in (2001). We give a reasonable lower bound for the packing measures of homogeneous Cantor sets. Our results indicate that duality does not hold between Hausdorff and packing measures.


1994 ◽  
Vol 115 (3) ◽  
pp. 437-450 ◽  
Author(s):  
Yuval Peres

AbstractWe show that the seif-affine sets considered by McMullen [15] and Bedford [2] have infinite packing measure in their packing dimension θ except when all non-empty rows of the initial pattern have the same number of rectangles. More precisely, the packing measure is infinite in the gauge tθ|logt|−1 and zero in the gauge tθ|logt|−1−δ for any δ > 0.


Mathematika ◽  
1995 ◽  
Vol 42 (1) ◽  
pp. 15-24 ◽  
Author(s):  
H. Joyce ◽  
D. Preiss
Keyword(s):  

1984 ◽  
Vol 10 (1) ◽  
pp. 58
Author(s):  
Taylor ◽  
Tricot

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