Packing measure - Open Access .click

Bulletin of the London Mathematical Society, 1999
Summary: Let \(K\) be a compact subset of \(\mathbb{R}^n\), \(0\leq s\leq n\). Let \(P^s_0\), \({\mathcal P}^s\) denote \(s\)-dimensional packing premeasure and measure, respectively. We discuss in this paper the relation between \(P^s_0\) and \({\mathcal P}^s\). We prove: if \(P^s_0(K)< \infty\), then \({\mathcal P}^s(K)= P^s_0(K)\); and if \(P^s_0(K)=
Feng, De-Jun, Hua, Su, Wen, Zhi-Ying
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Hausdorff and packing measure for solenoids

Ergodic Theory and Dynamical Systems, 2003
Summary: We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in \(\mathbb{R}^{2}\)).
Rams, Michał, Simon, Károly
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A Packing Problem for Measurable Sets

Canadian Journal of Mathematics, 1967
Given a probability measure space (Ω,,P)consider the followingpacking problem.What is the maximum number,b(K,Λ), of sets which may be chosen fromso that each set has measureKand no two sets have intersection of measure larger than Λ <K?In this paper the packing problem is solved for any non-atomic probability measure space. Rather than obtaining the
Sankoff, D., Dawson, D. A.
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hausdorff measure
hausdorff dimension
packing dimension