High pointwise emergence and Katok's conjecture for symbolic systems with non-uniform structure

被引：2

作者：

Ji, Yong ^{[1
]}

Chen, Ercai ^{[2
,3
]}

Lin, Zijie ^{[2
,3
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

来源：

NONLINEARITY | 2022年 / 35卷 / 10期

关键词：

pointwise emergence; topological pressure; non-uniform structure; TOPOLOGICAL-ENTROPY; INTERMEDIATE ENTROPIES; SPECIFICATION PROPERTY; VARIATIONAL PRINCIPLE; INTRINSIC ERGODICITY; EQUILIBRIUM STATES; INVARIANT-MEASURES; DYNAMICAL-SYSTEMS; SET; DIMENSION;

D O I：

10.1088/1361-6544/ac8a3a

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Kiriki, Nakano and Soma introduced a concept called pointwise emergence as a new quantitative perspective into the study of non-existence of averages for dynamical systems. In the present paper, we consider the set of points with high pointwise emergence for symbolic systems with non-uniform structure and prove that this set carries full topological pressure. For the proof of this result, we show that such systems have ergodic measures of arbitrary intermediate pressures.

引用

页码：5226 / 5248

页数：23

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