相对列车轨道和端周期图谱

arXiv - MATH - Geometric Topology Pub Date : 2024-08-23 DOI:arxiv-2408.13401

Yan Mary He, Chenxi Wu

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摘要

我们研究具有有限多个末端的无限图的末端周期映射。我们证明，任何这样的映射都与端周期相对列车轨迹映射同构。此外，我们还证明了过渡矩阵的（最大）Perron-Frobenius 特征值是与该映射相关的典型量。

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Relative train tracks and endperiodic graph maps

We study endperiodic maps of an infinite graph with finitely many ends. We prove that any such map is homotopic to an endperiodic relative train track map. Moreover, we show that the (largest) Perron-Frobenius eigenvalue of the transition matrix is a canonical quantity associated to the map.

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arXiv - MATH - Geometric Topology

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