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

共 50 条

[21] The Non-Uniform Perebor Conjecture for Time-Bounded Kolmogorov Complexity Is False
Mazor, Noam
Pass, Rafael
15TH INNOVATIONS IN THEORETICAL COMPUTER SCIENCE CONFERENCE, ITCS 2024, 2024,
[22] Symbolic computation of the phoretic acceleration of convex particles suspended in a non-uniform gas
Kroeger, Martin
Huetter, Markus
COMPUTER PHYSICS COMMUNICATIONS, 2006, 175 (10) : 650 - 664
[23] THE UNIFORM SPREADING SPEED IN COOPERATIVE SYSTEMS WITH NON-UNIFORM INITIAL DATA
Hou, Ru
Wang, Zhian
Xu, Wen-Bing
Zhang, Zhitao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (02): : 585 - 601
[24] Non-uniform superconductivity in S/F nanostructures
Buzdin, A
JOURNAL DE PHYSIQUE IV, 2005, 131 : 213 - 216
[25] Haidinger's rings in non-uniform plates
Raman, CV
Rajacopalan, VS
PHILOSOPHICAL MAGAZINE, 1940, 29 (196): : 508 - 514
[26] Bowen's equation in the non-uniform setting
Climenhaga, Vaughn
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2011, 31 : 1163 - 1182
[27] A morphing wing with cellular structure of non-uniform density
Zhang, Haibo
Zhang, Zhenkai
Song, Chen
Yang, Chao
SMART MATERIALS AND STRUCTURES, 2021, 30 (10)
[28] Extended model of a VCSEL with non-uniform laser structure
Ivanov, PS
Sukhoivanov, IA
Lysak, VV
PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 2001, 188 (03): : 961 - 966
[29] Design of Filters for a Class of Non-uniform Sampling Systems
Lin, Hong-Lei
Ma, Jing
Sun, Shu-Li
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1995 - 1999
[30] Energy exchange in the systems with non-uniform thermal sources
Vaulina, Olga S.
PHYSICS OF PLASMAS, 2017, 24 (02)

← 1 2 3 4 5 →