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

Semantic Scholar uses AI to extract papers important to this topic.

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…

2008

Let fut (x) : t 0, x 2 Rg be a random string taking values in Rd. It is specified by the following stochastic partial…

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…

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…

1994

In this paper, it is proved that if E Rm. F Rn, and is neither nor then where .denotes the packmg measure belongs to a class…

1991

1988

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