Induced and nonlinear topological pressure for random dynamical systems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913038280425472 |
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| author | Nan, Cunyi |
| author_facet | Nan, Cunyi |
| contents | In this paper, we investigate induced and nonlinear fiber topological pressure for random dynamical systems. We define a non-averaged induced fiber pressure via spanning and separated sets, characterize it as the pseudo-inverse of the classical fiber topological pressure studied previously, and establish the corresponding variational principle. We also define the nonlinear fiber pressure and prove the associated variational principles. Finally, we extend the combined theory to the higher-dimensional setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14964 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Induced and nonlinear topological pressure for random dynamical systems Nan, Cunyi Dynamical Systems Primary 37D35, Secondary 37A35, 37H05 In this paper, we investigate induced and nonlinear fiber topological pressure for random dynamical systems. We define a non-averaged induced fiber pressure via spanning and separated sets, characterize it as the pseudo-inverse of the classical fiber topological pressure studied previously, and establish the corresponding variational principle. We also define the nonlinear fiber pressure and prove the associated variational principles. Finally, we extend the combined theory to the higher-dimensional setting. |
| title | Induced and nonlinear topological pressure for random dynamical systems |
| topic | Dynamical Systems Primary 37D35, Secondary 37A35, 37H05 |
| url | https://arxiv.org/abs/2604.14964 |