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Chaotic homeomorphisms on manifolds

โœ Scribed by Aarts, Jan M. (author);Daalderop, Fons G.M. (author)

Publisher
Elsevier
Year
1999
Tongue
English
Weight
46 KB
Volume
96
Category
Article
ISSN
0166-8641

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๐Ÿ“œ SIMILAR VOLUMES

Chaotic homeomorphisms on manifolds
Chaotic homeomorphisms on manifolds
โœ Aarts, Jan M. (author);Daalderop, Fons G.M. (author) ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier ๐ŸŒ English โš– 46 KB

For n 2, every n-dimensional compact manifold X admits a chaotic homeomorphism. The set of all chaotic measure-preserving homeomorphisms on X is dense in the space of all measurepreserving homeomorphisms.

Chaotic homeomorphisms on manifolds
Chaotic homeomorphisms on manifolds
โœ Aarts, Jan M. (author);Daalderop, Fons G.M. (author) ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier ๐ŸŒ English โš– 46 KB
Maximally chaotic homeomorphisms of sigm
Maximally chaotic homeomorphisms of sigma-compact manifolds
โœ Steve Alpern; V.S. Prasad ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

Let ยต be a locally positive Borel measure on a ฯƒ -compact n-manifold X, n 2. We show that there is always a ยต-preserving homeomorphism of X which is maximally chaotic in that it satisfies Devaney's definition of chaos, with the sensitivity constant chosen maximally. Furthermore, maximally chaotic ho

Chaotic homeomorphisms are generic
Chaotic homeomorphisms are generic
โœ Fons Daalderop; Robbert Fokkink ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 57 KB

The set of all chaotic measure-preserving homeomorphisms on a compact n-dimensional manifold (n 2) is a residual set in the space of all measure-preserving homeomorphisms.

Chaotic group actions on manifolds
Chaotic group actions on manifolds
โœ Aniruddha C. Naolekar; Parameswaran Sankaran ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

We construct chaotic actions of certain finitely generated infinite abelian groups on evendimensional spheres, and of finite index subgroups of SL n (Z) on tori. We also study chaotic group actions via compactly supported homeomorphisms on open manifolds.