Classification of One-Dimensional Expanding Attractors
Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 360-370
Voir la notice de l'article provenant de la source Math-Net.Ru
It is shown that, in any dimension $d\ge 3$, there exist diffeomorphisms of compact $d$-manifolds with one-dimensional expanding attractors which are conjugate on these attractors but not conjugate on their neighborhoods.
Keywords:
diffeomorphism of compact manifolds, expanding attractor, intrinsic conjugacy, neighborhood conjugacy, Antoine's necklace.
@article{MZM_2009_86_3_a4,
author = {E. V. Zhuzhoma and N. V. Isaenkova},
title = {Classification of {One-Dimensional} {Expanding} {Attractors}},
journal = {Matemati\v{c}eskie zametki},
pages = {360--370},
publisher = {mathdoc},
volume = {86},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a4/}
}
E. V. Zhuzhoma; N. V. Isaenkova. Classification of One-Dimensional Expanding Attractors. Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 360-370. http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a4/