Hausdorff and packing measure for thick solenoids

• Autorzy: Michał Rams
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A78: Hausdorff and packing measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 163
• Numer: 2
• Strony: 193-202

Daty

wydano

2004

Twórcy

autor

Michał Rams

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, 00-956 Warszawa, Poland
• Université de Bourgogne, Dijon, France

Identyfikatory

DOI

10.4064/sm163-2-7