This paper is an expanded version of the Colloquium Lectures of the 1982 American Mathematical Society Winter Meeting and of the lecture given at this Conference August 1981.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
R. Bowen, "Dimension of quasi circles", Publ. IHES, Vol. 50 (1980).
A. Camacho, Dijon Conference Asteriks, 1979.
A. Douady, J. Hubbard, "Iteration of complex quadratic polynomials", CRAS, Paris 1982. Longer manuscript in preparation.
M. Fatou, "Functions Satisfying Functional Equations," Bull. of French Math. Soc., 1919–1920.
"Iterating Entire Functions," Act. Math., Vol. 47.
L. Garnett, "Calculation of Hausdorff dimension," in preparation.
J. Guckenheimer, "Dynamics of rational maps," AMS Conference on Global Analysis, 1968.
G. Julia, "Iteration of rational maps," Journal of Math. Pure et Appliques, 1919.
B. Mandelbrot, "Form, Chance, Dimension," Free an, 1976 (New version, 1982).
R. Mãné, P. Sad, D. Sullivan, "On the dynamics of rational maps," submitted to Journal of the Ecole Normal Superieur.
M. Misuriewicz, "Mapping of the Interval," Publ. IHES, Vol. 48.
S.J. Patterson, "Limit Sets of Fuchian groups," Acta Math., 1976.
H. Poincaré, Collected Works, Vol. 1.
D. Ruelle, "Analytic Repellers," Journal of Ergodic Theory and Dynamical Systems, 1982.
R. Sacksteder, "Invariant measures for pseudogroups," Amer. Journal Math., 1965.
C.L. Siegel, "Iteration of complex analytic transformations," Annals of Math., 1942.
D. Sullivan, "Discrete Conformal Groups and Measurable Dynamics," Proceedings of Poincaré Conference, Bloomington, Ind., 1980. BAMS 1982.
"Density at infinity..." Pub. IHES, 1980, Vol. 50.
"Quasi conformal homeomorphisms and dynamics," in preparation 1982; also C.R.A.S. (Paris), 1982.
M.V. Yakobson, "Question of topological classification of rational mappings of the Riemann sphere," Usp. Math. Nauk. 28, No 2, 247–248 (1973), also Math. Sb. (N.S.) 77, 105–124 (1968), and Math. Sb. (N.S.) 80, 365–387 (1967).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Sullivan, D. (1983). Conformal dynamical systems. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061443
Download citation
DOI: https://doi.org/10.1007/BFb0061443
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12336-1
Online ISBN: 978-3-540-40969-4
eBook Packages: Springer Book Archive