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Hausdorff dimension, Mean quadratic variation of infinite self-similar measures | | Zu-Guo Yu
; Fu-Yao Ren
; Jin-Rong Liang
; | | Date: |
24 Dec 1998 | | Journal: | Bull. of Hong Kong Math. Soc., II(2) (1998) 161-169 | | Subject: | Classical Analysis and ODEs MSC-class: 28A80 (Primary) 00A73 (Secondary) | math.CA | | Abstract: | Under weaker condition than that of Riedi & Mandelbrot, the Hausdorff (and Hausdorff-Besicovitch) dimension of infinite self-similar set K which is the invariant compact set of infinite contractive similarities {S_j(x)} satisfying open set condition is obtained. It is proved (under some additional hypotheses) that the mean quadratic variation of infinite self-similar measure is of asymptotic property. | | Source: | arXiv, math.CA/9812138 | | Services: | Forum | Review | PDF | Favorites | |
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