Distribution in homology classes and discrete fractal dimension
Dynamical Systems
2026-03-18 v1
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.
Keywords
Cite
@article{arxiv.2311.11970,
title = {Distribution in homology classes and discrete fractal dimension},
author = {James Everitt and Richard Sharp},
journal= {arXiv preprint arXiv:2311.11970},
year = {2026}
}
Comments
8 pages