Packing dimensions, transversal mappings and geodesic flows.

Leikas, Mika

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Displaying similar documents to “Packing dimensions, transversal mappings and geodesic flows.”

Packing measures on Euclidean spaces

Herrmann Haase (1987)

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H. Haase (1988)

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Chang, Der-Chen, Xu, Yong (2007)

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Measures on self-similar sets

Herrmann Haase (1989)

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Dimension of measures

Herrmann Haase (1990)

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Hausdorff and packing measure for thick solenoids

Michał Rams (2004)

Studia Mathematica

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For a linear solenoid with two different contraction coefficients and box dimension greater than 2, we give precise formulas for the Hausdorff and packing dimensions. We prove that the packing measure is infinite and give a condition necessary and sufficient for the Hausdorff measure to be positive, finite and equivalent to the SBR measure. We also give analogous results, generalizing [P], for affine IFS in ℝ².