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On Coxeter recurrences |
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| Authors: | Anna Cima Armengol Gasull Francesc Mañosas |
| Institution: | 1. Department de Matemàtiques, Facultat de Ciències , Universitat Autònoma de Barcelona , 08193 , Bellaterra , Barcelona , Spain cima@mat.uab.cat;3. Department de Matemàtiques, Facultat de Ciències , Universitat Autònoma de Barcelona , 08193 , Bellaterra , Barcelona , Spain |
| Abstract: | An interesting family of recurrences of order n ≥ 2, which are globally (n+3)-periodic was introduced by Coxeter in 1971. We prove a surprising property of this family: ‘all’ the possible geometrical behaviours that linear real (n+3)-periodic recurrences can have are present inside the Coxeter recurrences. |
| Keywords: | 39A05 39A20 39B12 |