Shadowing of actions of hyperbolic groups on their boundaries
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911923785695232 |
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| author | Doucha, Michal |
| author_facet | Doucha, Michal |
| contents | We prove that the canonical action of every hyperbolic group on its Gromov boundary has the shadowing (aka pseudo-orbit tracing) property. In particular, this recovers the results of Mann et al. that such actions are topologically stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04905 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shadowing of actions of hyperbolic groups on their boundaries Doucha, Michal Group Theory Dynamical Systems Metric Geometry We prove that the canonical action of every hyperbolic group on its Gromov boundary has the shadowing (aka pseudo-orbit tracing) property. In particular, this recovers the results of Mann et al. that such actions are topologically stable. |
| title | Shadowing of actions of hyperbolic groups on their boundaries |
| topic | Group Theory Dynamical Systems Metric Geometry |
| url | https://arxiv.org/abs/2405.04905 |