The Local Variational Principle of Weighted Entropy and Its Applications

被引：0
作者：
Changrong Zhu
机构：
[1] Chongqing University,College of Mathematics and Statistics
来源：
Journal of Dynamics and Differential Equations | 2024年 / 36卷
关键词：
Local entropy; Weighted entropy; Variational principle; Entropy tuple; 37A35; 28D20; 37A10; 22D40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The notions of local weighted topological entropy and local weighted measure-theoretic entropy are defined. Some properties of the local weighted entropies are studied. Based on the Bernoulli sub-shift, the local weighted variational principle is obtained. As an application of the local principle, the variational principle between the weighted topological entropy tuple and the weighted measure-theoretic entropy tuple is investigated.
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页码：797 / 831
页数：34
相关论文
共 51 条
[1]  
Adler R(1965)Topological entropy Trans. Amer. Math. Soc. 114 309-319
[2]  
Konheim A(1992)Fully positive topological entropy and topological mixing Symb. Dynam. Appl. AMS Contemp. Math. 135 95-105
[3]  
McAndrew M(1993)A disjointness theorem involving topological entropy Bull. de la Soc. Math. de France 121 465-478
[4]  
Blanchard F(1997)A variation on the variational principle and applications to entropy pairs Ergodic Theory Dynam. Syst. 17 29-43
[5]  
Blanchard F(1995)Entropy pairs for ameasure Ergodic Theory Dynam. Syst. 15 621-632
[6]  
Blanchard F(1993)Zero entropy factors of topological flows Proc. Amer. Math. Soc. 119 985-992
[7]  
Glasner E(2001)Entropy theory from the orbital point of view Monatsh. Math. 134 121-141
[8]  
Host B(1971)Relating topological entropy and measure entropy Bull. Lond. Math. Soc. 3 176-180
[9]  
Blanchard F(1969)Topological entropy bounds measure-theoretic entropy Proc. Am. Math. Soc. 23 679-688
[10]  
Host B(2011)Equilibrium states for factor maps between subshifts Adv. Math. 226 2470-2502
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