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| Título: | Robust transitivity and domination for endomorphisms displaying critical points |
| Autor: | Lizana Araneda, Cristina Potrie Altieri, Rafael Pujals, Enrique Ranter, Wagner |
| Tipo: | Preprint |
| Descriptores: | MATHEMATICS - DYNAMICAL SYSTEMS, ENDOMORPHISM, CRITICAL POINTS, DOMINATED SPLITTING, ROBUST TRANSITIVITY |
| Fecha de publicación: | 2023 |
| Resumen: | We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to get some topological obstructions for the existence of robustly transitive endomorphisms. To obtain the result we must understand the structure of the kernel of the differential and the recurrence to the critical set of the endomorphism after perturbation. |
| Descripción: | Versión permitida preprint. Publicado también en: Ergodic Theory and Dynamical Systems, 2024, 44(2): pp. 594 - 629. DOI: 10.1017/etds.2023.25 |
| Editorial: | arXiv |
| EN: | Mathematics (Dynamical Systems), arXiv.2106.03291, feb. 2023, pp. 1-34. |
| Citación: | Lizana Araneda, C, Potrie Altieri, R, Pujals, E [y otros]. "Robust transitivity and domination for endomorphisms displaying critical points". [Preprint] Publicado en: Mathematics (Dynamical Systems). arXiv.2106.03291, feb. 2023, pp. 1-34. |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2106.03291v4.pdf | Preprint | 428,12 kB | Adobe PDF | Visualizar/Abrir |
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