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arXiv · 2603.25069

On Transitivities for Skew Products

Nayan Adhikary·Anima Nagar
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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.

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Nayan Adhikary, Anima Nagar. 2026-03-26. On Transitivities for Skew Products. https://arxiv.org/abs/2603.25069

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