Hyperbolic components of the complex exponential family

Robert L. Devaney, Nuria Fagella, and Xavier Jarque. "Hyperbolic components of the complex exponential family." Fundamenta Mathematicae 174.3 (2002): 193-215. <http://eudml.org/doc/283145>.

@article{RobertL2002,
abstract = {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.},
author = {Robert L. Devaney, Nuria Fagella, Xavier Jarque},
journal = {Fundamenta Mathematicae},
keywords = {exponential family; hyperbolic component; kneading sequence; transcendental dynamics; parameter space},
language = {eng},
number = {3},
pages = {193-215},
title = {Hyperbolic components of the complex exponential family},
url = {http://eudml.org/doc/283145},
volume = {174},
year = {2002},
}

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
VL - 174
IS - 3
SP - 193
EP - 215
AB - 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.
LA - eng
KW - exponential family; hyperbolic component; kneading sequence; transcendental dynamics; parameter space
UR - http://eudml.org/doc/283145
ER -