Markov Processes and Discrete Multifractals

摘要: Fractals and multifractals are a natural consequence of self-similarity resulting from scale-independent processes. Multifractals spatially intertwined fractals which can be further grouped into two classes according to the characteristics their fractal dimension spectra: continuous discrete multifractals. The concept emphasizes spatial associations between spectra. Distinguishing makes it possible describe physical processes multifractal point view. It is shown that multiplicative cascade generate Markov result in latter provides not only theoretical evidence for existence but also fundamental model illustrating general properties Classical prefractal examples used show how asymmetrical process applied sets based on was dataset gold deposits Great Basin, Nevada, USA. were regarded as consisting three interrelated (small, medium, large deposits) yielding dimensions 0.541 small ( 500 tons Au), respectively.