Classification of One-Dimensional Expanding Attractors

E. V. Zhuzhoma ; N. V. Isaenkova

Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 360-370.

Résumé

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.

Détail

Keywords: diffeomorphism of compact manifolds, expanding attractor, intrinsic conjugacy, neighborhood conjugacy, Antoine's necklace.

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