Abstract
We give a brief overview of the impact of fractal geometry on physical sciences. In particular we will describe the prototype of fractal growth models and the recent developments in the direction of the formulation of an analytical theory that allows to understand why natural phenomena often give rise to fractal structures. Finally we will show that the large scale properties of the matter distribution in the universe need a radical revision on the of light of these new concepts.
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References
B.B Mandelbrot, “The Fractal Geometry of Nature”, (Freeman, New York, 1982).
See e. g.: P. Cvitanovic Ed., “Universality in Chaos”, Adam Hilger Ltd, Bristol, (1984).
L.Pietronero and E.Tosatti eds., “Fractals in Physics”, North-Holland, Amsterdam (1986).
H.E.Stanley and N.Ostrowsky, “On Growth and Form”, Nijhof, Dororecht (1986).
D.J.Amit: “Field Theory, the Renormalization Group and Critical Phenomena”, Mc Graw Hill (1978).
T.A.Witten and L.M.Sander, Phys. Rev.Lett. 1, 1400 (1981).
L.Niemeyer, L.Pietronero and H.J.Wiesmann, Phys. Rev. Lett. 52, 1033 (1984).
L.Pietronero, A.Erzan and C.Evertsz, Phys, Rev. Lett., 61, 861 (1988).
L.Pietronero, A.Erzan and C.Evertsz, Physica A 151, 207 (1988).
G.Paladin and A.Vulpiani, Phys. Rep. 156, 147 (1987).
P.J.E.Peebles, “The Large-Scale STructure of the Universe”, Princeton Univ. Princeton (1980).
S.Weinberg, “Gravitation and Cosmology”, Wiley, New-York (1972).
L.Pietronero, Physica A 144, 257 (1987).
M.Davis and P.J.E.Peebles, Ap. J. 267,, 465 (1983)
P.H.Coleman, L.Pietronero and R.H,Sanders, Astron. Astrophys. 200, L32 (1988).
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© 1990 Plenum Press, New York
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Pietronero, L. (1990). Fractals in Physics. In: Zichichi, A. (eds) The Superworld III. The Subnuclear Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8869-2_7
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DOI: https://doi.org/10.1007/978-1-4684-8869-2_7
Publisher Name: Springer, Boston, MA
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