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.
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页数：35
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