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The pointwise dimension of self-similar measures |
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| Authors: | Ercai Chen Jincheng Xiong |
| Affiliation: | CHEN Ercai and XIONG Jincheng Department of Mathematics , Nanjing Normal University , Nanjing 210097, China ; Department of Mathematics , South China Normal University, Guangzhou 510631 , China |
| Abstract: | The problem about the existence of pointwise dimension of self-similar measure has been discussed. The Hausdorff dimension of the set of those points for which the pointwise dimension does not exist equals the dimention of support of the self-similar measure. |
| Keywords: | self-similar measure point wise dimension Hausdorff dimension multifractal symbolic space. |
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