On the metric properties of the Feigenbaum attractor
β Scribed by Erik Aurell
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 686 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Ξ, which makes it a Polish space. Compact functions on Ξ are also considered. (Β© 2006 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
A short and simple proof is given for the inequality that shows that positive definite matrices constitute a Riemannian manifold of negative curvature. The idea of the proof leads to generalisations to non-Riemannian metrics, and to connections with some well-known inequalities of mathematical physi