Non-periodic not everywhere dense trajectories in triangular billiards
| Autor: | Slipantschuk, Julia, Bandtlow, Oscar F., Just, Wolfram |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/tran/9239 |
| Popis: | Building on tools that have been successfully used in the study of rational billiards, such as induced maps and interval exchange transformations, we provide a construction of a one-parameter family of isosceles triangles exhibiting non-periodic trajectories that are not everywhere dense. This provides, by elementary means, a definitive negative answer to a long-standing open question on the density of non-periodic trajectories in triangular billiards. Comment: 15 pages, 2 figures |
| Databáze: | arXiv |
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