THE CHOQUET SIMPLEX OF INVARIANT-MEASURES FOR MINIMAL FLOWS

被引：51
作者：
DOWNAROWICZ, T
机构：
[1] Institute of Mathematics, Technical University, Wroclaw
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1991年 / 74卷 / 2-3期
关键词：
D O I：
10.1007/BF02775789
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The set of invariant measures of a compact dynamical system is well known to be a nonempty compact metrizable Choquet simplex. It is shown that all such simplices are realized already for the class of minimal flows. Moreover, sufficient is the class of 0-1 Toeplitz flows. Previously, it is proved that the set of invariant measures of the regular Toeplitz flows contains homeomorphic copies of all metric compacta.
引用
收藏
页码：241 / 256
页数：16
相关论文
共 13 条
[1]   A MINIMAL 0-1 SUBSHIFT WITH NONCOMPACT SET OF ERGODIC MEASURES [J].
DOWNAROWICZ, T .
PROBABILITY THEORY AND RELATED FIELDS, 1988, 79 (01) :29-35
[2]   QUASI-UNIFORM CONVERGENCE IN COMPACT DYNAMICAL-SYSTEMS [J].
DOWNAROWICZ, T ;
IWANIK, A .
STUDIA MATHEMATICA, 1988, 89 (01) :11-25
[3]  
EDWARDS DA, 1975, B SOC MATH FR, V103, P225
[4]  
Furstenberg H., 1981, RECURRENCE ERGODIC T
[5]  
Haydon R., 1975, B LOND MATH SOC, V7, P97
[6]  
HEWITT E, 1963, ABSTRACT HARMONIC AN, V1
[7]   0-1-SEQUENCES OF TOEPLITZ TYPE [J].
JACOBS, K ;
KEANE, M .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1969, 13 (02) :123-&
[8]  
KATZNELSON Y, 1981, ERGOD THEOR DYN, V1, P195
[9]   SUBSTITUTION-LIKE MINIMAL SETS [J].
MARKLEY, NG .
ISRAEL JOURNAL OF MATHEMATICS, 1975, 22 (3-4) :332-353
[10]   ALMOST AUTOMORPHIC SYMBOLIC MINIMAL SETS WITHOUT UNIQUE ERGODICITY [J].
MARKLEY, NG ;
PAUL, ME .
ISRAEL JOURNAL OF MATHEMATICS, 1979, 34 (03) :259-272
12