Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866914892118753280 |
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| author | Vales, Túlio |
| author_facet | Vales, Túlio |
| contents | Given a random map (T_1, T_2, T_3, T_4, p_1, p_2, p_3, p_4), we define a random billiard map on a surface of constant curvature (Euclidean plane, hyperbolic plane, or the sphere). The Liouville measure is invariant for this billiard map. Finally, we show some dynamical properties such as ergodicity in the case of random circular billiards. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_00872 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing Vales, Túlio Dynamical Systems 37C83, 37A05, 37A50 Given a random map (T_1, T_2, T_3, T_4, p_1, p_2, p_3, p_4), we define a random billiard map on a surface of constant curvature (Euclidean plane, hyperbolic plane, or the sphere). The Liouville measure is invariant for this billiard map. Finally, we show some dynamical properties such as ergodicity in the case of random circular billiards. |
| title | Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing |
| topic | Dynamical Systems 37C83, 37A05, 37A50 |
| url | https://arxiv.org/abs/2212.00872 |