Density-equicontinuity and Density-sensitivity
查看参考文献28篇
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文摘
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In this paper we introduce the notions of (Banach) density-equicontinuity and densitysensitivity. On the equicontinuity side, it is shown that a topological dynamical system is densityequicontinuous if and only if it is Banach density-equicontinuous. On the sensitivity side, we introduce the notion of density-sensitive tuple to characterize the multi-variant version of density-sensitivity. We further look into the relation of sequence entropy tuple and density-sensitive tuple both in measuretheoretical and topological setting, and it turns out that every sequence entropy tuple for some ergodic measure on an invertible dynamical system is density-sensitive for this measure; and every topological sequence entropy tuple in a dynamical system having an ergodic measure with full support is densitysensitive for this measure. |
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来源
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Acta Mathematica Sinica. English Series
,2021,37(2):345-361 【核心库】
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DOI
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10.1007/s10114-021-0211-2
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关键词
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Density equicontinuity
;
density sensitivity
;
sequence entropy
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地址
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1.
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116
2.
School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, 519082
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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supported by NSF of Jiangsu Province
;
国家自然科学基金
;
Science Foundation of Jiangsu Normal University
;
国家自然科学基金
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文献收藏号
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CSCD:6980039
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参考文献 共
28
共2页
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