TY - CHAP
T1 - Multifractal Decomposition for a Family of Overlapping Self-Similar Measures
AU - Ngai, Sze-Man
N1 - In general, only the information that you provide, or the choices you make while visiting a web site, can be stored in a cookie. For example, the site cannot determine your email name unless you choose to type it.
PY - 1997/5
Y1 - 1997/5
N2 - We discuss two methods for computing the multifractal dimension spectrum of a self-similar measure defined by a family of similitudes which does not satisfy the open set condition. Results are obtained by applying these methods to the measures defined by Si (x) = 1/2s + i/2, i = 0, 1, ... , N, which is the well-known family defining the dilation equations in the wavelet theory.
AB - We discuss two methods for computing the multifractal dimension spectrum of a self-similar measure defined by a family of similitudes which does not satisfy the open set condition. Results are obtained by applying these methods to the measures defined by Si (x) = 1/2s + i/2, i = 0, 1, ... , N, which is the well-known family defining the dilation equations in the wavelet theory.
KW - Family
KW - Multifractal decomposition
KW - Overlapping self-similar measures
UR - https://doi.org/10.1142/9789814529686
U2 - 10.1142/9789814529686
DO - 10.1142/9789814529686
M3 - Chapter
BT - Fractal Frontiers: Fractals in the Natural and Applied Sciences
ER -