Open AccessOn intersections of Cantor sets: Hausdorff measure
Author(s) -
Steen Pedersen,
Jason D. Phillips
Publication year - 2013
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2013.33.3.575
Subject(s) - mathematics , hausdorff measure , measure (data warehouse) , outer measure , σ finite measure , cantor set , cantor function , hausdorff space , hausdorff dimension , combinatorics , mathematical analysis , fractal , fractal dimension , minkowski–bouligand dimension , computer science , database
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
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