Julia sets and bifurcation diagrams for exponential maps
HTML articles powered by AMS MathViewer
- by Robert L. Devaney PDF
- Bull. Amer. Math. Soc. 11 (1984), 167-171
References
- Paul Blanchard, The dynamics of Newton’s method, Complex dynamical systems (Cincinnati, OH, 1994) Proc. Sympos. Appl. Math., vol. 49, Amer. Math. Soc., Providence, RI, 1994, pp. 139–154. MR 1315536, DOI 10.1090/psapm/049/1315536
- Robert L. Devaney and MichałKrych, Dynamics of $\textrm {exp}(z)$, Ergodic Theory Dynam. Systems 4 (1984), no. 1, 35–52. MR 758892, DOI 10.1017/S014338570000225X
- Adrien Douady and John Hamal Hubbard, Itération des polynômes quadratiques complexes, C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 3, 123–126 (French, with English summary). MR 651802
- P. Fatou, Sur l’itération des fonctions transcendantes Entières, Acta Math. 47 (1926), no. 4, 337–370 (French). MR 1555220, DOI 10.1007/BF02559517 [GGS] E. Ghys, L. Goldberg and D. Sullivan, On the measurable dynamics of z → e (preprint). [J] G. Julia, Iteration des applications fonctionnelles, J. Math. Pures Appl. (1918), 47-245.
- Benoit B. Mandelbrot, The fractal geometry of nature, Schriftenreihe für den Referenten. [Series for the Referee], W. H. Freeman and Co., San Francisco, Calif., 1982. MR 665254 [MSS] R. Mañé, P. Sad and D. Sullivan, On the dynamics of rational maps (to appear).
- MichałMisiurewicz, On iterates of $e^{z}$, Ergodic Theory Dynam. Systems 1 (1981), no. 1, 103–106. MR 627790, DOI 10.1017/s014338570000119x
- Mary Rees, Positive measure sets of ergodic rational maps, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 3, 383–407. MR 870689, DOI 10.24033/asens.1511 [S] D. Sullivan, Quasi-conformal homeomorphisms and dynamics. III (to appear).
Additional Information
- Journal: Bull. Amer. Math. Soc. 11 (1984), 167-171
- MSC (1980): Primary 58F15
- DOI: https://doi.org/10.1090/S0273-0979-1984-15253-4
- MathSciNet review: 741732