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arXiv · 2509.09406

The Exact $\varepsilon$-Hypercyclicity Threshold

Geivison Ribeiro
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Abstract

In this paper we give an affirmative answer to the problem proposed by Bayart in [J. Math. Anal. Appl. \textbf{529} (2024), 127278]: given $\varepsilon\in(0,1)$, there exists an operator which is $δ$-hypercyclic if and only if $δ\in[\varepsilon,1)$?

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Geivison Ribeiro. 2025-10-20. The Exact $\varepsilon$-Hypercyclicity Threshold. https://arxiv.org/abs/2509.09406

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