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Acta Informatica, 1995
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Jürgensen, H., Staiger, L.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgensen, H., Staiger, L.
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Hausdorff Dimension versus Smoothness
2007There is a one-to-one correspondence between C1+H Cantor exchange systems that are C1+H fixed points of renormalization and C1+H diffeomorphisms f on surfaces with a codimension 1 hyperbolic attractor Λ that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Λ. However, there is no such C1+α Cantor exchange system
Ferreira, Flávio +2 more
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The Hausdorff Dimension of Sections*
Chinese Annals of Mathematics, Series B, 2007Taking an iterated function system of contractive similitudes on \(\mathbb{R}^n\) with the same contraction factor and the resultant compact attracting set \(E\) the author considers questions of Hausdorff dimension of sections where a ``section'' is defined as the intersection of \(E\) with a \((n-1)\)-dimensional hyperplane \(L\).
Niu, Min, Xi, Lifeng
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Generalized Hausdorff dimension
Mathematika, 1970It is natural to say that a set S in a metric space has infinite generalized Hausdorff dimension if there is no Hausdorff measure Λh with Λh(S) = 0. In this note we study such sets. We first need some definitions.We say that h(x) is a Hausdorff measure function if it satisfies the conditions:
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Hausdorff dimensions of cartesian products
Siberian Mathematical Journal, 1981Zakharov, I. P., Portnov, L. E.
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