An equivalent definition of packing dimension and its application

Wenxia Li

doi:10.1016/j.nonrwa.2008.02.004

An equivalent definition of packing dimension and its application

Wenxia Li^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

An equivalent definition of packing dimension is given for a set in d-dimensional Euclidean space by using its component sets as packings. It is applied to determine the packing dimensions of a class of subsets with prescribed relative group frequencies.

Original language	English
Pages (from-to)	1618-1626
Number of pages	9
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/j.nonrwa.2008.02.004
State	Published - Jun 2009

Keywords

Component set
J-type packing
Moran set
Packing dimension

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10.1016/j.nonrwa.2008.02.004

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title = "An equivalent definition of packing dimension and its application",

abstract = "An equivalent definition of packing dimension is given for a set in d-dimensional Euclidean space by using its component sets as packings. It is applied to determine the packing dimensions of a class of subsets with prescribed relative group frequencies.",

keywords = "Component set, J-type packing, Moran set, Packing dimension",

author = "Wenxia Li",

year = "2009",

month = jun,

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KW - Component set

KW - J-type packing

KW - Moran set

KW - Packing dimension

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An equivalent definition of packing dimension and its application

Abstract

Keywords

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