Analytic expression for the structure factor and for the moment-generating function of fractal sets and multifractal measures
作者： Massimiliano Giona
DOI: 10.1088/0305-4470/30/12/017
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摘要: By applying the definition of Markov operator for iterated function systems with probability, an analytic expression structure factor and moment-generating a class fractal sets is obtained in presence arbitrary multifractal distributions associated affine systems. The properties are analysed detail. results developed factors have interesting implications as regards to theory Laplace transforms singular non-atomic measures. Some physical applications theory, related heterogeneous case adsorption relaxation, briefly addressed. Integral transform also applied solve Dirichlet problem equation on circle boundary conditions.
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