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Irregular functions and fractal objects: from Weierstrass to Mandelbrot

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Lettera Matematica

Abstract

The aim of this paper is to show the origins of fractal geometry in the mathematical work of Weierstrass, Peano, Julia and Hausdorff, as well as from input from studies on Brownian motion and turbulence in physics by Richardson, Perrin and Kolmogorov. It concludes with a brief review of some of the many applications of fractal geometry in science and technology.

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Acknowledgments

I am grateful to Gian Italo Bischi and Angelo Guerraggio for their suggestions.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Roma “La Sapienza”, Piazzale Aldo Moro 2, 00185, Rome, Italy

    Angelo Vulpiani

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  1. Angelo Vulpiani
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Correspondence to Angelo Vulpiani.

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Vulpiani, A. Irregular functions and fractal objects: from Weierstrass to Mandelbrot. Lett Mat Int 4, 115–123 (2016). https://doi.org/10.1007/s40329-016-0139-z

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  • DOI: https://doi.org/10.1007/s40329-016-0139-z

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