Linear Triangle Dynamics: The Pedal Map and Beyond
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866929314261368832 |
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| author | Castellano, Claire Manack, Corey |
| author_facet | Castellano, Claire Manack, Corey |
| contents | We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1312_0281 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Linear Triangle Dynamics: The Pedal Map and Beyond Castellano, Claire Manack, Corey Dynamical Systems 37B10 We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic. |
| title | Linear Triangle Dynamics: The Pedal Map and Beyond |
| topic | Dynamical Systems 37B10 |
| url | https://arxiv.org/abs/1312.0281 |