TY - JOUR ID - Pedersen2013 LB - Pedersen2013 AU - Pedersen, Steen AU - Phillips, Jason D. TI - On intersections of Cantor sets: Hausdorff measure ST - On intersections of Cantor sets: Hausdorff measure JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2013 VL - 33 IS - 3 SP - 575 EP - 598 DO - http://dx.doi.org/10.7494/OpMath.2013.33.3.575 UR - http://dx.doi.org/10.7494/OpMath.2013.33.3.575 AB - 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. KW - Hausdorff measure KW - fractal KW - Cantor set KW - translation KW - intersection KW - digit expansion SN - 1232-9274 ER -