Entropy Points and Applications for Free Semigroup Actions

被引：0
作者：
Fagner B. Rodrigues
Thomas Jacobus
Marcus V. Silva
机构：
[1] Universidade Federal do Rio Grande do Sul,Departamento de Matemática
来源：
Journal of Statistical Physics | 2022年 / 186卷
关键词：
Free semigroup action; Topological entropy; Entropy points; Skew-products; Primary: 37B05; 37B40 Secondary: 37D20; 37D35; 37C85;
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摘要：
The aim of this manuscript is to study some local properties of the topological entropy of a free semigroup action. In order to do that we focus on the set of entropy points of a free semigroup action, show that this set carries the full entropy of the system (which, with respect to the chaocity of the system, gives a fundamental relevance to such set). We prove that the topological entropy of a free semigroup action focuses on a countable set of points. Our results are inspired by the ones presented in [1].
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[1]  
Ye Xiangdong(2007)Entropy points and applications Trans. Am. Math. Soc. 359 6167-6186
[2]  
Zhang Guohua(1965)Topological entropy Trans. Am. Math. Soc. 114 309-319
[3]  
Adler RL(2005)Symbolic extensions and smooth dynamical systems Invent. Math. 160 453-499
[4]  
Konheim AG(1988)Entropy and volume Ergod. Theory Dyn. Syst. 8 283-300
[5]  
McAndrew MH(1974)Dynamical systems, filtrations and entropy Bull Am. Math. Soc 80 27-41
[6]  
Downarowicz T(1987)Volume growth and entropy Isr. J. Math. 57 285-300
[7]  
Newhouse SE(2011)Topological entropy of DNA sequences Bioinformatics 27 1061-1067
[8]  
Newhouse S(2014)A generalized topological entropy for analyzing the complexity of DNA sequences PLoS ONE 9 e88519-118
[9]  
Shub M(2018)Entropies in investigation of dynamical systems and their application to digital image analysis J. Measur. Eng. 6 107-261
[10]  
Yomdin Y(2016)Topological robustness of the global automotive industry Logist. Res. 9 1-142
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