Geometry and Dynamics of Fractal Systems
Recently physics of fractals has been one of the most exciting fields of science.l,2 A number of studies of percolation clusters, Sierpinski gaskets, lattice animals etc. have been reported and considerable interest has been generated in their anomolous behavior. On the basis of real-space renormalization group methods and/or scaling theories, we have investigated relation between geometrical structure and physical properties of fractal systems. As a result, it becomes evident that various types of critical phenomena are combined into a few universality classes and given unified geometrical interpretations.
KeywordsCritical Exponent Critical Phenomenon Fractal System Universality Class Percolation Cluster
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