G. Julia, Memoire sur l'iteration des fonctions rationelles, J. Math. Pure Appl., 8 (1918), pp. 47--245. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Renormalization for Siegel Discs - Burbanks (Correct)
....about the global behaviour except in very simple cases. Early this century Pierre Fatou demonstrated (by giving an example) that the global behaviour can be surprisingly complicated. After the first world war, the subject was studied more extensively, in particular by Fatou [Fat19] Gaston Julia [Jul18], and others, and in recent years this area has enjoyed a period of growth and renewed interest, mainly due to developments in computer technology which allow any competent hacker to produce pictures of the stunningly intricate and beautiful sets that arise. A good general reference in this area ....
Julia G (1918): M'emoire sur L'iteration des Fonctions Rationelles. Journal de Math. Pure et Appl. 8, 47--245.
Meromorphic Functions Whose Julia Sets Contain A Free Jordan Arc - Stallard (1993) (Correct)
....II transcendental entire functions, III transcendental meromorphic functions with 1 2 E(f) and with one pole, IV transcendental meromorphic functions with 1 = 2 E(f) and with at least one pole. The iteration of functions in classes I and II was studied in detail by Fatou [11, 12] and by Julia [14]. If f is a function in class III then we may assume without loss of generality that it has a pole at the point 0 and it then follows that f must be an analytic map of the punctured plane b C n f0g onto itself. The iteration of such maps was first studied by Radstrom [20] Various authors have ....
Julia, G.: M'emoire sur l'it'eration des fonctions rationelles. - J. Math. Pures Appl. Ser. (8) 1, 1918, 47--245.
Iteration Of Rational Maps - Erat (1998) (Correct)
....1. Introduction The local theory of iterated analytic mappings developed in the late 19 th century due to Schr oder, Poincar e, Leau, K nigs and B ottcher. The global iteration theory of analytic functions originated with Gaston Julia (1893 1978) and Pierre Fatou (1878 1929) about 1918 1920, [Ju 1918], Fa 1919,1920] and others such as Latt es, and later Cremer and Siegel about 1930 1940. Then after another 40 years, in the early eighties (20 th century) the use of quasi conformal mappings gave rise to new results by Sullivan [Su] Douady and Hubbard [DH2] Shishikura [Sh] for an ....
G. Julia, Memoire sur l'iteration des fonctions rationelles, J. Math. Pure Appl. 8 (1918), 47-245.
The Critical Point Behind The Mandelbrot Set - Assaf, IV (1997) (Correct)
....the Computer Program appendix) History. It is interesting to note that most of the theory of iteration of complex functions has its origins before the age of computers in the work of Gaston Julia and Pierre Fatou, who laid the foundations of complex analytic dynamics circa 1920 (see [F1] F2] [J]) Sixty years later, with Mandelbrot s computer plots and descriptions of M 0 (see [M] an avalanche of research was started. In 1982, Adrien Douady and J. H. Hubbard published an amazing result in [DH] that M 0 is connected. Other important results have since followed, notably by D. Sullivan ....
G. Julia, Memoire sur l'it'eration des fonctions rationelles, J. Math. Pure Appl. 8 (1918), 47--245.
A Schur Algorithm For Computing Matrix Pth Roots - Matthew Smith Siam (Correct)
No context found.
G. Julia, Memoire sur l'iteration des fonctions rationelles, J. Math. Pure Appl., 8 (1918), pp. 47--245.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC