Proximality, stability, and central limit theorem for random maps on an interval
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912756506034176 |
|---|---|
| author | Hille, Sander C. Horbacz, Katarzyna Oppelmayer, Hanna Szarek, Tomasz |
| author_facet | Hille, Sander C. Horbacz, Katarzyna Oppelmayer, Hanna Szarek, Tomasz |
| contents | Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called $μ$-injectivity and some mild assumptions, then proximality, asymptotic stability and a central limit theorem hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07398 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proximality, stability, and central limit theorem for random maps on an interval Hille, Sander C. Horbacz, Katarzyna Oppelmayer, Hanna Szarek, Tomasz Dynamical Systems Functional Analysis Probability 37A50, 37A25, 60F05 (Primary) 60G52, 60G53, 60G10 (Secondary) Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called $μ$-injectivity and some mild assumptions, then proximality, asymptotic stability and a central limit theorem hold. |
| title | Proximality, stability, and central limit theorem for random maps on an interval |
| topic | Dynamical Systems Functional Analysis Probability 37A50, 37A25, 60F05 (Primary) 60G52, 60G53, 60G10 (Secondary) |
| url | https://arxiv.org/abs/2408.07398 |