Pairwise ε-Independence of the Sets TiA for a Mixing Transformation T

被引：4

作者：

Ryzhikov, V. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2009年 / 43卷 / 02期

关键词：

Mixing; partial rigidity; measure-preserving transformation; epsilon-independence;

D O I：

10.1007/s10688-009-0022-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If an ergodic automorphism T of a probability space is not partially rigid, then for any numbers a is an element of (0, 1) and is an element of > 0 there exists a set A such that all sets T(i)A, i > 0, are pairwise epsilon-independent.

引用

页码：155 / 157

页数：3

共 6 条

[1] Kalikow S. A., 1984, Ergodic Theory Dynam. Systems, V4, P237
[2] KATOK AB, 1967, FUNCTIONAL ANAL, V1, P66
[3] MIXING, RANK, AND MINIMAL SELF-JOINING OF ACTIONS WITH AN INVARIANT MEASURE
RYZHIKOV, VV
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1993, 75 (02) : 405 - 427
[4] Sinai J. G., 1964, Mat. Sb. (N.S.), V63, P23
[5] A complete metric in the set of mixing transformations
Tikhonov, S. V.
[J]. SBORNIK MATHEMATICS, 2007, 198 (3-4) : 575 - 596
[6] Complete metric on the set of mixing transformations
Tikhonov, S. V.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2007, 62 (01) : 193 - 195

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