RANDOM AVERAGING IN ERGODIC THEOREM AND BOUNDARY DEFORMATION RATE IN SYMBOLIC DYNAMICS

被引：0

作者：

Gurevich, B. M. ^{[1
]}

Komech, S. A. ^{[2
]}

Tempelman, A. A. ^{[3
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, GSP 1, Moscow 119991, Russia

[2] IITP RAS, Bolshoy Karetny 19,Build 1,Lab 4, Moscow 127051, Russia

[3] Penn State Univ, University Pk, PA 16802 USA

来源：

MOSCOW MATHEMATICAL JOURNAL | 2019年 / 19卷 / 01期

关键词：

Symbolic dynamical systems; topological Markov shift; sofic system; synchronized system; magic word; invariant measure; metric entropy; Mean Ergodic theorem; boundary deformation rate;

D O I：

10.17323/1609-4514-2019-19-1-77-88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For some symbolic dynamical systems we study the value of the boundary deformation for a small ball in the phase space during a period of time depending on the center and radius of the ball. For actions of countable Abelian groups, a version of the Mean Ergodic theorem with averaging over random sets is proved and used in the proof of the main theorem on deformation rate.

引用

页码：77 / 88

页数：12

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