On Transitivities for Skew Products
Dynamical Systems
2026-03-27 v1 Functional Analysis
Abstract
The dual concepts of `universality' and `hypercyclicity' are better understood and studied as `topological transitivity'. In this article we consider transitivity properties of skew products, essentially with non-compact fibers. We study the `Universality Conditions' and `Hypercyclicity Criterion' associated with the dynamical properties of transitivity, weakly mixing and mixing for these skew products.
Cite
@article{arxiv.2603.25069,
title = {On Transitivities for Skew Products},
author = {Nayan Adhikary and Anima Nagar},
journal= {arXiv preprint arXiv:2603.25069},
year = {2026}
}