Orbital Counting in Conjugacy Classes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911657734701056 |
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| author | Baumgartner, Alexander Pollicott, Mark |
| author_facet | Baumgartner, Alexander Pollicott, Mark |
| contents | In this article we consider a restricted orbital counting problem for the action of certain discrete groups on suitable spaces. In particular, we present asymptotics for counting those points in an orbit restricted to a single conjugacy class. A classical example would be cocompact actions of a discrete group acting isometrically on a simply connected manifold with pinched negative curvature. More generally, we obtain results for convex cocompact actions on $CAT(-1)$ spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06381 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Orbital Counting in Conjugacy Classes Baumgartner, Alexander Pollicott, Mark Dynamical Systems 37C30 37C35 37B15 37B10 In this article we consider a restricted orbital counting problem for the action of certain discrete groups on suitable spaces. In particular, we present asymptotics for counting those points in an orbit restricted to a single conjugacy class. A classical example would be cocompact actions of a discrete group acting isometrically on a simply connected manifold with pinched negative curvature. More generally, we obtain results for convex cocompact actions on $CAT(-1)$ spaces. |
| title | Orbital Counting in Conjugacy Classes |
| topic | Dynamical Systems 37C30 37C35 37B15 37B10 |
| url | https://arxiv.org/abs/2605.06381 |