A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917260402098176 |
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| author | Ju, Yujun Yang, Lingbing |
| author_facet | Ju, Yujun Yang, Lingbing |
| contents | Motivated by the notion of topological entropy for free semigroup actions introduced by Biś, we define the Pesin--Pitskel topological pressure for non-autonomous iterated function systems via the Carathéodory--Pesin structure. We show that this Pesin--Pitskel topological pressure coincides with the corresponding weighted topological pressure. Furthermore, we establish a variational principle asserting that, for any nonempty compact subset, the Pesin--Pitskel topological pressure equals the supremum of the associated measure-theoretic pressures over all Borel probability measures supported on that subset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08746 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets Ju, Yujun Yang, Lingbing Dynamical Systems Motivated by the notion of topological entropy for free semigroup actions introduced by Biś, we define the Pesin--Pitskel topological pressure for non-autonomous iterated function systems via the Carathéodory--Pesin structure. We show that this Pesin--Pitskel topological pressure coincides with the corresponding weighted topological pressure. Furthermore, we establish a variational principle asserting that, for any nonempty compact subset, the Pesin--Pitskel topological pressure equals the supremum of the associated measure-theoretic pressures over all Borel probability measures supported on that subset. |
| title | A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2602.08746 |