Birkhoff sums as distributions I: Regularity
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915061512011776 |
|---|---|
| author | Grotta-Ragazzo, Clodoaldo Smania, Daniel |
| author_facet | Grotta-Ragazzo, Clodoaldo Smania, Daniel |
| contents | We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus and piecewise expanding maps on the interval. We also give some applications, as the study of advection in discrete dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_04806 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Birkhoff sums as distributions I: Regularity Grotta-Ragazzo, Clodoaldo Smania, Daniel Dynamical Systems Analysis of PDEs 37A05, 37A25, 37C30, 37D20, 37E05, 46F05, 26A16 We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus and piecewise expanding maps on the interval. We also give some applications, as the study of advection in discrete dynamical systems. |
| title | Birkhoff sums as distributions I: Regularity |
| topic | Dynamical Systems Analysis of PDEs 37A05, 37A25, 37C30, 37D20, 37E05, 46F05, 26A16 |
| url | https://arxiv.org/abs/2104.04806 |