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We compute the Hausdorff and packing dimensions of the cylindrical lower or upper local dimension set for a self-similar measure having different minimum and maximum of the local dimension on a self-similar set satisfying the open set condition.
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참고문헌 (5)
참고문헌 신청
I.-S. Baek / 2004 / Relation between spectral classes of a self-similar Cantor set / J. Math. Anal. Appl 292(1):294~302
I.-S. Baek / 2007 / Divergence points of self-similar mea-sures and packing dimension / Adv. Math 214(1):267~287
백인수 / 2012 / THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE / 대한수학회보 49(5):1041~1055
K. J. Falconer / 1997 / Techniques in fractal geometry / John Wiley and Sons
L. Olsen / 2003 / Normal and non-normal points of self-similar sets and divergence points of a self-similar measures / J. London Math. Soc 67(3):103~122
I.-S. Baek / 2007 / Divergence points of self-similar mea-sures and packing dimension / Adv. Math 214(1):267~287
백인수 / 2012 / THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE / 대한수학회보 49(5):1041~1055
K. J. Falconer / 1997 / Techniques in fractal geometry / John Wiley and Sons
L. Olsen / 2003 / Normal and non-normal points of self-similar sets and divergence points of a self-similar measures / J. London Math. Soc 67(3):103~122
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