Self-similar fractals and common hypercyclicity

被引：0

作者：

Costa, Fernando ^{[1
]}

机构：

[1] Univ Fed Paraiba Campus 1, Dept Matemat, Jardim Univ S-N, BR-58051900 Joao Pessoa, Brazil

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 287卷 / 03期

关键词：

Common hypercyclicity; Hausdorff dimension; Self-similar fractal; H & ouml; lder curve; VECTORS;

D O I：

10.1016/j.jfa.2024.110473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a multi -dimensional generalization of the CostakisSambarino 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 & ouml;lder continuous curve in R d , for all d >= 1. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：35

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