Variational principles of relative weighted topological pressures
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915184565551104 |
|---|---|
| author | Yin, Zhengyu |
| author_facet | Yin, Zhengyu |
| contents | Recently, M. Tsukamoto (New approach to weighted topological entropy and pressure, Ergod. Theory Dyn. Syst. 43 (2023) 1004-1034) used a new approach to define the weighted topological entropy and pressure. Inspired by his ideas, we introduce the relative weighted topological entropy and pressure for factor maps and establish several variational principles. One of these results involves a question raised by D. Feng and W. Huang (Variational principle for weighted topological pressure, J. Math. Pures Appl. 106 (2016) 411-452), whether there is a relative version of the weighted variation principle. In this paper, we try to establish such variational principle. Furthermore, we generalize the Ledrappier and Walters' type relative variational principle to the weighted version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational principles of relative weighted topological pressures Yin, Zhengyu Dynamical Systems Recently, M. Tsukamoto (New approach to weighted topological entropy and pressure, Ergod. Theory Dyn. Syst. 43 (2023) 1004-1034) used a new approach to define the weighted topological entropy and pressure. Inspired by his ideas, we introduce the relative weighted topological entropy and pressure for factor maps and establish several variational principles. One of these results involves a question raised by D. Feng and W. Huang (Variational principle for weighted topological pressure, J. Math. Pures Appl. 106 (2016) 411-452), whether there is a relative version of the weighted variation principle. In this paper, we try to establish such variational principle. Furthermore, we generalize the Ledrappier and Walters' type relative variational principle to the weighted version. |
| title | Variational principles of relative weighted topological pressures |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2401.03679 |