✦ LIBER ✦

Chaotic homeomorphisms are generic

✍ Scribed by Fons Daalderop; Robbert Fokkink

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 57 KB
Volume: 102
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00155-2

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Chaotic homeomorphisms on manifolds

✍ Aarts, Jan M. (author);Daalderop, Fons G.M. (author) 📂 Article 📅 1999 🏛 Elsevier 🌐 English ⚖ 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

✍ Aarts, Jan M. (author);Daalderop, Fons G.M. (author) 📂 Article 📅 1999 🏛 Elsevier 🌐 English ⚖ 46 KB

Chaotic homeomorphisms on manifolds

✍ Aarts, Jan M. (author);Daalderop, Fons G.M. (author) 📂 Article 📅 1999 🏛 Elsevier 🌐 English ⚖ 46 KB

Generic properties of the homeomorphisms

Generic properties of the homeomorphisms ofSd

✍ Gheorghe Crăciun 📂 Article 📅 1994 🏛 Springer 🌐 English ⚖ 239 KB

Maximally chaotic homeomorphisms of sigm

Maximally chaotic homeomorphisms of sigma-compact manifolds

✍ Steve Alpern; V.S. Prasad 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Let µ be a locally positive Borel measure on a σ -compact n-manifold X, n 2. We show that there is always a µ-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

Generic polynomials are descent-generic

✍ Gregor Kemper 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 33 KB