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arXiv · 2306.16026

Self-similar fractals and common hypercyclicity

Fernando Costa Jr
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Abstract

We obtain a multi-dimensional generalization of the Costakis-Sambarino criterion for common hypercyclic vectors with optimal consequences on a large class of fractals. Applications include families of products of backward shifts parameterized by any H\"older continuous curve in $\mathbb R^d$, for all $d\geq 1$.

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Fernando Costa Jr. 2023-06-28. Self-similar fractals and common hypercyclicity. https://doi.org/10.1016/j.jfa.2024.110473

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