Hyperbolic components of the complex exponential family

• Autorzy: Robert L. Devaney , Nuria Fagella , Xavier Jarque
• Języki publikacji: EN

Abstrakty

EN

We describe the structure of the hyperbolic components of the parameter plane of the complex exponential family, as started in [1]. More precisely, we label each component with a parameter plane kneading sequence, and we prove the existence of a hyperbolic component for any given such sequence. We also compare these sequences with the more commonly used dynamical kneading sequences.

Kategorie tematyczne

• 30D20: Entire functions, general theory
• 37F10: Polynomials; rational maps; entire and meromorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 3
• Strony: 193-215

Daty

wydano

2002

Twórcy

autor

Robert L. Devaney

• Department of Mathematics, Boston University, Boston, MA 02215, U.S.A.

autor

Nuria Fagella

• Dep. Mat. Apl. i Anàlisi, Univ. de Barcelona, 08071 Barcelona, Spain

autor

Xavier Jarque

• Dep. d'Economia i d'Hist. Econ., Escola d'Empresarials de Sabadell, Univ. Autònoma de Barcelona, 08193 Bellaterra, Spain

Identyfikatory

DOI

10.4064/fm174-3-1