AN APPLICATION OF THE ERGODIC THEOREM OF INFORMATION THEORY TO LYAPUNOV EXPONENTS OF CELLULAR AUTOMATA

被引：0
|
作者：
Bulatek, Wojciech [1 ]
Courbage, Maurice [2 ]
Kaminski, Brunon [1 ]
Szymanski, Jerzy [1 ]
机构：
[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
[2] Univ Paris 07, Lab Matiere & Syst Complexes MSC, F-75221 Paris 05, France
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2012年 / 40卷 / 02期
关键词：
Cellular automata; dynamical systems; entropy; local entropy; Lyapunov exponents;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a generalization of the individual ergodic theorem of the information theory and we apply it to give a new proof of the Shereshevsky inequality connecting the metric entropy and Lyapunov exponents of dynamical systems generated by cellular automata.
引用
收藏
页码：415 / 427
页数：13
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