Geodesic
Hyperbolic components of the complex exponential family
Robert L. Devaney1 ; Nuria Fagella2 ; Xavier Jarque3
1 Department of Mathematics Boston University Boston, MA 02215, U.S.A.
2 Dep. Mat. Apl. i Anàlisi Univ. de Barcelona 08071 Barcelona, Spain
3 Dep. d'Economia i d'Hist. Econ. Escola d'Empresarials de Sabadell Univ. Autònoma de Barcelona 08193 Bellaterra, Spain
Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 193-215.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm174-3-1
Keywords: describe structure hyperbolic components parameter plane complex exponential family started precisely label each component parameter plane kneading sequence prove existence hyperbolic component given sequence compare these sequences commonly dynamical kneading sequences

Robert L. Devaney 1 ; Nuria Fagella 2 ; Xavier Jarque 3

1 Department of Mathematics Boston University Boston, MA 02215, U.S.A.
2 Dep. Mat. Apl. i Anàlisi Univ. de Barcelona 08071 Barcelona, Spain
3 Dep. d'Economia i d'Hist. Econ. Escola d'Empresarials de Sabadell Univ. Autònoma de Barcelona 08193 Bellaterra, Spain 
@article{10_4064_fm174_3_1,
     author = {Robert L. Devaney and Nuria Fagella and Xavier Jarque},
     title = {Hyperbolic components of the
 complex exponential family},
     journal = {Fundamenta Mathematicae},
     pages = {193--215},
     publisher = {mathdoc},
     volume = {174},
     number = {3},
     year = {2002},
     doi = {10.4064/fm174-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-1/}
}
TY  - JOUR
AU  - Robert L. Devaney
AU  - Nuria Fagella
AU  - Xavier Jarque
TI  - Hyperbolic components of the
 complex exponential family
JO  - Fundamenta Mathematicae
PY  - 2002
SP  - 193
EP  - 215
VL  - 174
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-1/
DO  - 10.4064/fm174-3-1
LA  - en
ID  - 10_4064_fm174_3_1
ER  - 
%0 Journal Article
%A Robert L. Devaney
%A Nuria Fagella
%A Xavier Jarque
%T Hyperbolic components of the
 complex exponential family
%J Fundamenta Mathematicae
%D 2002
%P 193-215
%V 174
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-1/
%R 10.4064/fm174-3-1
%G en
%F 10_4064_fm174_3_1
Robert L. Devaney; Nuria Fagella; Xavier Jarque. Hyperbolic components of the
 complex exponential family. Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 193-215. doi : 10.4064/fm174-3-1. http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-1/

Cité par Sources :