On the metric properties of multimodal interval maps and \(C^2\) density of Axiom A (Q1882739)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the metric properties of multimodal interval maps and \(C^2\) density of Axiom A |
scientific article; zbMATH DE number 2105122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the metric properties of multimodal interval maps and \(C^2\) density of Axiom A |
scientific article; zbMATH DE number 2105122 |
Statements
On the metric properties of multimodal interval maps and \(C^2\) density of Axiom A (English)
0 references
1 October 2004
0 references
This extended work is well written and organized. It is a good example of a ``reader-friendly'' paper. The central part of this work is to gain control on the geometry of a multimodal interval map. The work is a natural continuation of the recent research on unimodal interval maps. The author proves that Axiom A maps are dense in the space of \(C^2\) interval maps endowed with the \(C^2\)-topology and that \(C^2\)-structurally stable maps satisfy Axiom A and form an open dense subset of \(C^2([0,1][0,1])\).
0 references
axiom A map
0 references
multimodal map
0 references
renormalization
0 references
polynomial-like mappings
0 references
first return map
0 references
combinatorial equivalence
0 references
0.8633817
0 references
0 references
0.85520923
0 references
0 references
0.8520417
0 references