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math.CA1998
Noise and chaotic disturbance on self-similar set
Zu-Guo Yu, Fu-Yao Ren
The effect of noise on self-similar set is studied. The iteratie procedure used to generate the self-similar set is moidified by adding a stochastic variable to the diameter of gen…
math.CA1998
Hausdorff dimension, Mean quadratic variation of infinite self-similar measures
Zu-Guo Yu, Fu-Yao Ren, Jin-Rong Liang
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 inf…