Recurrence and genericity
Overview & Synopsis
We prove a C^1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C^1-generic diffeomorphisms. For instance, C^1-generic conservative diffeomorphisms are transitive. Nous montrons un lemme de connexion C^1 pour les pseudo-orbites des difféomorphismes des variétés compactes. Nous explorons alors les conséquences pour les difféomorphismes C^1-génériques. Par exemple, les difféomorphismes conservatifs C^1-génériques sont transitifs.
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hal.science)
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Document Information
| Document Title | Recurrence and genericity |
|---|---|
| Author / Organization | Christian Bonatti, Sylvain Crovisier |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2003 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-194725 |
| Original Source Link | Visit Source Page on hal.science » |