Euclidean-type algorithm for functions with same or similar origin
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914200046010368 |
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| author | Anušić, Ana Mouron, Christopher |
| author_facet | Anušić, Ana Mouron, Christopher |
| contents | Maps $f,g\colon X\to X$ are called kin if they are forward iterates of the same map $φ\colon X\to X$, up to a composition with a commuting homeomorphism. Kin form an important class of commuting maps on $X$. In this paper, we characterize kin, and give an Euclidean-type algorithm which tests when two maps $f,g\colon X\to X$ are kin. Furthermore, we compute the topological entropy of diagonal maps induced by commuting diagonal kin diagrams. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_12064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euclidean-type algorithm for functions with same or similar origin Anušić, Ana Mouron, Christopher Dynamical Systems General Topology 26A21, 37E05, 54C60, 37B40, 37E05, 37B45 Maps $f,g\colon X\to X$ are called kin if they are forward iterates of the same map $φ\colon X\to X$, up to a composition with a commuting homeomorphism. Kin form an important class of commuting maps on $X$. In this paper, we characterize kin, and give an Euclidean-type algorithm which tests when two maps $f,g\colon X\to X$ are kin. Furthermore, we compute the topological entropy of diagonal maps induced by commuting diagonal kin diagrams. |
| title | Euclidean-type algorithm for functions with same or similar origin |
| topic | Dynamical Systems General Topology 26A21, 37E05, 54C60, 37B40, 37E05, 37B45 |
| url | https://arxiv.org/abs/2512.12064 |