APPLICATION OF NUMBER-THEORY TO ERGODIC-THEORY AND THE CONSTRUCTION OF UNIQUELY ERGODIC MODELS

被引：7

作者：

BELLOW, A ^{[1
]}

FURSTENBERG, H ^{[1
]}

机构：

[1] HEBREW UNIV JERUSALEM,JERUSALEM 91000,ISRAEL

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 33卷 / 3-4期

关键词：

D O I：

10.1007/BF02762163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a combinatorial result of N. Hindman one can extend Jewett's method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett's argument. © 1979 Hebrew University.

引用

页码：231 / 240

页数：10

共 8 条

[1] STRICT ERGODICITY [J].

DENKER, M .

MATHEMATISCHE ZEITSCHRIFT, 1973, 134 (03) :231-253

[2]

DENKER M, 1976, LECTURE NOTES MATH

[3] TOPOLOGICAL DYNAMICS AND COMBINATORIAL NUMBER-THEORY [J].

FURSTENBERG, H ;

WEISS, B .

JOURNAL D ANALYSE MATHEMATIQUE, 1978, 34 :61-85

[4]

GLAZER S, UNPUBLISHED

[5] ERGODICITY, UNIFORMITY AND UNIQUE ERGODICITY [J].

HANSEL, G ;

RAOULT, JP .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 23 (03) :221-237

[6]

Hindman N., 1974, Journal of Combinatorial Theory, Series A, V17, P1, DOI 10.1016/0097-3165(74)90023-5

[7]

JEWETT RI, 1970, J MATH MECH, V19, P717

[8]

KRIEGER W, 1972, 6TH P BERK S MATH ST, V2, P327

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