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arXiv · 2512.12064

Euclidean-type algorithm for functions with same or similar origin

Ana Anušić·Christopher Mouron
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Abstract

Maps $f,g\colon X\to X$ are called kin if they are forward iterates of the same map $\varphi\colon X\to X$, 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.

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Ana Anušić, Christopher Mouron. 2025-12-12. Euclidean-type algorithm for functions with same or similar origin. https://arxiv.org/abs/2512.12064

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