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About the speed of explosion of parabolic fixed points in the quadratic family

Authors :
Chéritat, Arnaud
Source :
Comptes Rendus. Mathématique. Jun2002, Vol. 334 Issue 12, p1107. 6p.
Publication Year :
2002

Abstract

We define the asymptotic size of a parabolic fixed point, and link it to the speed of explosion into a cycle in some cases. For the fixed points of the quadratic family, we give a relation to the inner conformal radius of Siegel disks. Applications will be given in a further note. To cite this article: A. Che´ritat, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1107–1112. [Copyright &y& Elsevier]

Details

Language :
French
ISSN :
1631073X
Volume :
334
Issue :
12
Database :
Academic Search Index
Journal :
Comptes Rendus. Mathématique
Publication Type :
Academic Journal
Accession number :
8776418