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Fractal and Percolation Concepts

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Turbulence and Diffusion

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Further Reading

Fractals and Diffusion

  • Ben-Avraham, D. and Havlin, S. (1996). Diffusion and Reactions in Fractals and Disordered Systems. Cambridge University Press, Cambridge, U.K.

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  • Bunde, A. and Havlin, S., eds. (1996). Fractals in Science. Springer-Verlag, Berlin.

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  • Bunde, A. and Havlin, S., eds. (1995). Fractals and Disordered Systems. Springer-Verlag, Berlin.

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  • Feder, J. (1988). Fractals. Plenum Press, New York.

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  • Gouyet, J.-F. (1996). Physics and Fractal Structure. Springer-Verlag, Berlin.

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  • Mandelbrot, B.B. (1982). The Fractal Geometry of Nature. W.H. Freeman, San Francisco.

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  • Schroeder, M. (2001). Fractals, Chaos, Power Laws. Minutes from an Infinite Paradise.W.H. Freeman, New York.

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  • Pietronero, L. (1988). Fractals’ Physical Origin and Properties. Plenum Press, New York.

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Fractals and Turbulence

  • Biferale, L. and Procaccia, I. (2005). Physics Reports, 254, 1–41.

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  • Bohr, T., Jensen, M.H., Giovanni, P., and Vulpiani, A. (2003). Dynamical Systems Approach to Turbulence. Cambridge University Press, Cambridge, U.K.

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  • Davidson, P.A. (2004). Turbulence: An Introduction for Scientists and Engineers. Oxford University Press, Oxford.

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  • Falkovich, G., Gawedzki, K., and Vergassola, M. (2001). Reviews of Modern Physics, 73, 913.

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  • Frisch, U. (1995). Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge, U.K.

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  • Gouyet, J.-F. (1996). Physics and Fractal Structure. Springer-Verlag, Berlin.

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  • Kida, S. and Takaoka, M. (1994). Annual Reviews of Fluid Mechanics, 26, 169.

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  • Oberlack, M. and Busse, F.H., eds. (2002). Theories of Turbulence. Springer-Verlag, Vienna.

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  • Peinke, J., Kittel, A., Barth, S., and Oberlack, M., eds. (2005). Progress in Turbulence. Springer-Verlag, Berlin.

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  • Siggia, E.D. (1994). Annual Reviews of Fluid Mechanics, 26, 137.

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  • Tsinober, A. (2004). An Informal Introduction to Turbulence. Kluwer Academic, Dordrecht.

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  • Vassilicos, J.C., ed. (2001). Intermittency in Turbulent Flows. Cambridge University Press, Cambridge, U.K.

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Percolation

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Bakunin, O.G. (2008). Fractal and Percolation Concepts. In: Turbulence and Diffusion. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68222-6_10

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