Topological Pressure of Discontinuous Potentials of Flow and Variational Principle
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910379599200256 |
|---|---|
| author | Xiong, Ruolan |
| author_facet | Xiong, Ruolan |
| contents | Let $X$ be a compact metric space and $Φ=\{φ_t\}_{t\in\mathbb{R}}$ be a continuous flow on $X$. We introduce two types of topological pressure for family of discontinuous potentials $a=\{a_t\}_{t>0}$. First, define the topological pressure of family of measurable potentials $a=\{a_t\}_{t>0}$ on a subset $Z$ for flow and proof its invariant principle. The second topological pressure is defined on a invariant subset having a nested family of subsets, we also proof its invariant principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Pressure of Discontinuous Potentials of Flow and Variational Principle Xiong, Ruolan Dynamical Systems 37D35, 26A18 Let $X$ be a compact metric space and $Φ=\{φ_t\}_{t\in\mathbb{R}}$ be a continuous flow on $X$. We introduce two types of topological pressure for family of discontinuous potentials $a=\{a_t\}_{t>0}$. First, define the topological pressure of family of measurable potentials $a=\{a_t\}_{t>0}$ on a subset $Z$ for flow and proof its invariant principle. The second topological pressure is defined on a invariant subset having a nested family of subsets, we also proof its invariant principle. |
| title | Topological Pressure of Discontinuous Potentials of Flow and Variational Principle |
| topic | Dynamical Systems 37D35, 26A18 |
| url | https://arxiv.org/abs/2403.15753 |