Hausdorff dimension, Mean quadratic variation of infinite self-similar measures
Yu, Zu-Guo · Ren, Fu-Yao · Liang, Jin-Rong
Original · EN
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 Sⱼ(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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.