Zero-dimensional isomorphic dynamical models

被引：0

作者：

Downarowicz, Tomasz ^{[1
,2
]}

Jin, Lei ^{[3
]}

Lusky, Wolfgang ^{[4
]}

Qiao, Yixiao ^{[5
]}

机构：

[1] Wroclaw Univ Technol, Fac Math, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland

[2] Wroclaw Univ Technol, Fac Fundamental Problems Technol, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland

[3] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

[4] Univ Paderborn, Inst Math, Warburger Str 100, D-33098 Paderborn, Germany

[5] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2020年 / 40卷 / 08期

关键词：

assignment; zero-dimensional system; isomorphic model; measure-theoretic isomorphism;

D O I：

10.1017/etds.2018.131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By an assignment we mean a mapping from a Choquet simplex K to probability measure-preserving systems obeying some natural restrictions. We prove that if Phi is an aperiodic assignment on a Choquet simplex K such that the set of extreme points exK is a countable union boolean OR(n) E-n, where each set E-n is compact, zero-dimensional and the restriction of Phi to the Bauer simplex K-n spanned by E-n can be 'embedded' in some topological dynamical system, then Phi can be 'realized' in a zero-dimensional system.

引用

页码：2116 / 2130

页数：15

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