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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2011

We completely solve the symplectic packing problem with equally sized balls for any rational, ruled, symplectic 4-manifolds. We…

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…

2003

Let $X\,{=}\,\{X(t), \ t \in {\R^N}\}$ be a multiparameter fractional Brownian motion of index $\alpha$ ($0< \alpha < 1$) in $\R…

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…

2000

1999

Let K be a compact subset of Rn, 0 ⩽ s ⩽ n. Let P0s , Ps denote s‐dimensional packing premeasure and measure, respectively. We…

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…

1988

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