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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Julia sets and bifurcation diagrams for exponential maps

Author(s): Robert L. Devaney
Journal: Bull. Amer. Math. Soc. 11 (1984), 167-171.
MSC (1980): Primary 58F15
MathSciNet review: 741732
Retrieve article in: PDF

References | Similar articles | Additional information

References:

[B] P. Blanchard, Complex analytic dynamics, Bull. Amer. Math. Soc. (to appear). MR 1315536

[DK] R. Devaney and M. Krych, Dynamics of Exp (z), Ergodic Theory Dynamical Systems (to appear). MR 758892

[DH] A. Douady and J. Hubbard, Iteration des polynômes quadratiques complexes, R. Acad. Sci. Paris 294 (1982), 123-126. MR 651802

[F] P. Fatou, Sur l'iteration des fonctions transcendantes entieres, Acta Math. 47 (1926), 337-370. MR 1555220

[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.

[Ma] B. Mandelbrot, The fractal geometry of nature, Freeman, San Francisco, 1982. MR 665254

[MSS] R. Mañé, P. Sad and D. Sullivan, On the dynamics of rational maps (to appear).

[M] M. Misiurewicz, On iterates of e, Ergodic Theory Dynamical Systems 1 (1981), 103-106. MR 627790

[R] M. Rees, Positive measure sets of ergodic rational maps (preprint). MR 870689

[S] D. Sullivan, Quasi-conformal homeomorphisms and dynamics. III (to appear).


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Additional Information:

DOI: 10.1090/S0273-0979-1984-15253-4
PII: S 0273-0979(1984)15253-4




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