References & Citations
Mathematics > Functional Analysis
Title: Self-similar fractals and common hypercyclicity
(Submitted on 28 Jun 2023 (v1), last revised 26 Apr 2024 (this version, v2))
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 $d\geq 1$.
Submission history
From: Fernando Costa Jr. [view email][v1] Wed, 28 Jun 2023 08:53:07 GMT (613kb,D)
[v2] Fri, 26 Apr 2024 12:21:20 GMT (272kb,D)
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