Constructing equilibrium states for Smale spaces
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913257216802816 |
|---|---|
| author | Parmenter, David Pollicott, Mark |
| author_facet | Parmenter, David Pollicott, Mark |
| contents | There are several known constructions of equilibrium states for Hölder continuous potentials in the context of both subshifts of finite type and uniformly hyperbolic systems. In this article we present another method of building such measures, formulated in the unified and more general setting of Smale spaces. This simultaneously extends the authors' previous work for hyperbolic attractors (modelled after Sinai's classical approach for SRB-measures) and gives a new and original construction of equilibrium states for subshifts of finite type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing equilibrium states for Smale spaces Parmenter, David Pollicott, Mark Dynamical Systems There are several known constructions of equilibrium states for Hölder continuous potentials in the context of both subshifts of finite type and uniformly hyperbolic systems. In this article we present another method of building such measures, formulated in the unified and more general setting of Smale spaces. This simultaneously extends the authors' previous work for hyperbolic attractors (modelled after Sinai's classical approach for SRB-measures) and gives a new and original construction of equilibrium states for subshifts of finite type. |
| title | Constructing equilibrium states for Smale spaces |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2403.04646 |