Counting functions over periodic orbits of a skew-product map
Dynamical Systems
2025-07-21 v2 Number Theory
Abstract
In this manuscript, we investigate some properties of certain counting functions, associated to the ergodic sums computed along the periodic orbits of the skew-product map, related to a finitely generated rational semigroup. To be precise, we obtain some comparability results for the above mentioned counting functions.
Cite
@article{arxiv.2505.05069,
title = {Counting functions over periodic orbits of a skew-product map},
author = {Subith Gopinathan and Bharath Krishna Seshadri and Shrihari Sridharan},
journal= {arXiv preprint arXiv:2505.05069},
year = {2025}
}