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arXiv · 2311.11970

Distribution in homology classes and discrete fractal dimension

James Everitt·Richard Sharp
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Abstract

In this note we examine the proportion of periodic orbits of Anosov flows that lie in an infinite zero density subset of the first homology group. We show that on a logarithmic scale we get convergence to a discrete fractal dimension.

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James Everitt, Richard Sharp. 2023-11-20. Distribution in homology classes and discrete fractal dimension. https://doi.org/10.1017/prm.2024.67

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