title={FRACTAL ASPECTS OF THE ITERATION OF z →$\Lambda$z(1‐ z) FOR COMPLEX $\Lambda$ AND z},
  author={Benoit B. Mandelbrot},
  journal={Annals of the New York Academy of Sciences},
  • B. Mandelbrot
  • Published 1980
  • Mathematics
  • Annals of the New York Academy of Sciences
Chapter foreword concerning the illustrations, especially the “missing specks” of Figure 1 (2003). As described in Chapter C1, this paper boasts many “firsts” and was instrumental in reviving the theory of iteration. The many new observations it contains concern the set in the μ-plane for which A. Douady and J.H. Hubbard soon proposed the term “Mandelbrot set.” Each observation was stated as a mathematical conjecture or became the source of one. Thus, the figures in this paper played a… Expand
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Sur les équations fonctionnelles
© Bulletin de la S. M. F., 1920, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. implique l’accordExpand
Self inverse fractals and Kleinian groups
  • Mathematical Intelligencer
  • 1980
Sur les Cquations fonctionnelles
  • Bull. SOC. Math. France
  • 1919
1919 - 1920 . Sur les Cquations fonctionnelles
  • Bull . SOC . Math . France
  • 1918
Mandelbrot: Fractal Aspects of Iteration of z -hz( 1 -z ) 259
    Sur lec solutions uniformes de certaines equations fonctionnelles
    • GUREL. 0. & 0. E. ROSSLER, I5ds. 1979. Bifurcation theory and applications in scientific FATOC, P. 1906