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…

Papers overview

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2019

Using the variational principle in parametric geometry of numbers, we compute the Hausdorff and packing dimension of Diophantine…

2008

Let {X(t)} t≥0 denote a Levy process in R d with exponent Ψ. Taylor (1986) proved that the packing dimension of the range X([0,1…

2007

If the measures " and " are the images of ae-invariant ones in symbolic space, we can obtain the formulae of dimension of…

2006

Let X = {X(t), t ∈ RN} be a random field with values in R. We develop measure theoretic methods for determining the Hausdorff and…

2005

The fractal dimensions are very important characteristics of the fractal sets. A problem which arises in the study of the fractal…

2003

In this paper we study the quantity \(\mathbb{E} \sup_{{t \in T}}X_{t},\) where X t is some random process. In the case of the…

2002

This paper consider the realization of graph directed construction which are stated by Mauldin and William on [1], We prove: the…

1996

Abstract We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the…

1991

1988

The packing measure as defined by S. J. Taylor for continuous, monotone functions h and the measure generated by the symmetric…