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A typical measure typically has no local dimension

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Publication:1978887
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zbMath0943.28008MaRDI QIDQ1978887

Julia Genyuk

Publication date: 21 May 2000

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

categoryHausdorff dimensionpacking dimensionglobal dimensionlocal dimensiontypical measure


Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)


Related Items (6)

Typical Rényi dimensions of measures. The cases: \(q=1\) and \(q=\infty\) ⋮ A note on the interior and dimensions of typical sumsets ⋮ On the average L^q-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space. The limiting cases: q = 1 and q = ∞ ⋮ Some New Concepts of Dimension ⋮ Typical upper \(L^q\)-dimensions of measures for \(q\in [0,1\)] ⋮ On the average \(L^q\)-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space







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