On intersections of Cantor sets: Hausdorff measure

• Autorzy: Pedersen S. , Phillips J. D.
• Języki publikacji: EN

Abstrakty

EN

We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff dimensions of these intersections.

Słowa kluczowe

EN

Hausdorff measure; fractal; Cantor set; translation; intersection; digit expansion

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 3
• Strony: 575--598
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Pedersen S.

• Wright State University Department of Mathematics Dayton OH 45435

autor

Phillips J. D.

• Wright State University Department of Mathematics Dayton OH 45435

Bibliografia

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