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Geometry and Dynamics of Fractal Systems

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Scaling Phenomena in Disordered Systems
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Abstract

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.

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© 1991 Springer Science+Business Media New York

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Ohtsuki, T., Keyes, T. (1991). Geometry and Dynamics of Fractal Systems. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_31

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  • DOI: https://doi.org/10.1007/978-1-4757-1402-9_31

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

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