Multifractal decomposition of fractals with finite memory

作者：Jinghu, Yu^*; Xiaoli, Zhang

来源：Acta Mathematica Scientia, 2008, 28(1): 151-162.

DOI：10.1016/S0252-9602(08)60015-6

• multifractal spectrum
• fractal
• finite memory
• spectral radius

The authors study recursive structures with "finite memory" in Euclidean matric space and the multifractal decomposition of the corresponding fractals. For any two positive numbers q, beta, and such a recursive structure, a linear operator V-q,V-beta in finite dimensional space is defined. The multifractal spectrum is given by the spectral radius of V-q,V-beta.

• 出版日期2008-1
• 单位中国科学院武汉物理与数学研究所; 武汉理工大学