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packing dimension
We investigate the fractal interpolation functions generated by such a system and get its differentiability, its box dimension, its packing dimension, and a lower bound of its Hausdorff dimension.
      
The Box dimension, Packing dimension and Hausdorff dimension of such surfaces are investigated.
      
The packing dimension ofX (t) is the uppcr index β.
      
We study the maximal speed of all particles during a given time period, which turns out to be a function of the packing dimension of the time period.
      
The opposite question of how dimensions effect homogeneity is solved by giving an upper bound to homogeneity in terms of upper packing dimension.
      
We determine the maximal speed of allparticles during a given time period E, which turns out to be afunction of the packing dimension of E.
      
Exact packing dimension in random recursive constructions
      
We explore the exact packing dimension of certain random recursive constructions.
      
Packing dimension estimation for exceptional parameters
      
We estimate by a combinatorial method the packing dimension of the set of parameters for which the limit set of an iterated function system has a drop of the Hausdorff dimension.
      
We show that packing dimension of the typical (in the sense of Baire category) compact set is at least .
      
For the remaining case, we derive some estimates for the Hausdorff dimension and the packing dimension of ?σ.
      
In particular, if the τ-function is differentiable, we prove a formula which gives the Hausdorff dimension and packing dimension of the set of singularity points of a given order.
      
We investigate the Hausdorff dimension and the packing dimension of random Cantor sets.
      
That is, using the Gibbs measures, we can conclude that in our Cantor sets the Hausdorff dimension coincides with the packing dimension and this common value is characterized as the unique zero point of a certain function.
      
Then we prove an upper bound on the packing dimension of certain random distribution functions on [0, 1].
      
For any compact setE?RN, we compute the packing dimension ofX(E).
      
 

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