Hölder continuity of measures for heavy tail potentials
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915374684962816 |
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| author | Iommi, Godofredo Terhesiu, Dalia Todd, Mike |
| author_facet | Iommi, Godofredo Terhesiu, Dalia Todd, Mike |
| contents | For a class of potentials $ψ$ satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder continuity property in the weak${^*}$ norm of measures, with respect to the pressure of those measures, where the Hölder exponent depends on the $L^q$-space that $ψ$ belongs to. This also captures a new type of phase transition for intermittent (semi)flows (and maps). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_14485 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hölder continuity of measures for heavy tail potentials Iommi, Godofredo Terhesiu, Dalia Todd, Mike Dynamical Systems 37D25, 37D35, 37C30, 37C10, 37E05 For a class of potentials $ψ$ satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder continuity property in the weak${^*}$ norm of measures, with respect to the pressure of those measures, where the Hölder exponent depends on the $L^q$-space that $ψ$ belongs to. This also captures a new type of phase transition for intermittent (semi)flows (and maps). |
| title | Hölder continuity of measures for heavy tail potentials |
| topic | Dynamical Systems 37D25, 37D35, 37C30, 37C10, 37E05 |
| url | https://arxiv.org/abs/2308.14485 |