SIMPLE SYSTEMS AND THEIR HIGHER-ORDER SELF-JOININGS

被引：24

作者：

GLASNER, E

HOST, B

RUDOLPH, D

机构：

[1] UNIV AIX MARSEILLE 2,DEPT MATH INFO,F-13288 MARSEILLE 9,FRANCE

[2] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1992年 / 78卷 / 01期

关键词：

D O I：

10.1007/BF02801575

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to study the joinings of simple systems. First the joinings of a simple system with another ergodic system are treated; then the pairwise independent joinings of three systems one of which is simple. The main results obtained are: (1) A weakly mixing simple system with no non-trivial factors with absolutely continuous spectral type is simple of all orders. (2) A weakly mixing system simple of order 3 is simple of all orders.

引用

页码：131 / 142

页数：12

共 8 条

[1] ON ERGODIC ACTIONS WHOSE SELF-JOININGS ARE GRAPHS [J].