Displaying similar documents to “The packing measure of the trajectory of a one-dimensional symmetric Cauchy process.”

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.