Joint coboundaries

被引：10

作者：

Adams, Terry ^{[1
]}

Rosenblatt, Joseph ^{[1
]}

机构：

[1] Indiana Univ Purdue Univ, Dept Math SciR, Indianapolis, IN 46202 USA

来源：

DYNAMICAL SYSTEMS, ERGODIC THEORY, AND PROBABILITY: IN MEMORY OF KOLYA CHERNOV | 2017年 / 698卷

关键词：

TRIVIAL COCYCLES; ERGODIC-THEORY; UNIQUENESS; THEOREMS; SET;

D O I：

10.1090/conm/698/14034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We ask under what conditions on the function f, and a set of maps T, it is the case that f is a coboundary for some map in T. We also consider for a function f, and a set of maps T, when we have f being a coboundary for all the maps in T.

引用

页码：5 / 33

页数：29

共 28 条

[1] [Anonymous], 1962, Canadian Mathematical Bulletin
[2] Anosov D. V., 1973, IZV AKAD NAUK SSSR M, V37, P1259
[3] ON FUNCTIONS THAT ARE TRIVIAL COCYCLES FOR A SET OF IRRATIONALS
BAGGETT, L
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (04) : 1212 - 1215
[4] On functions that are trivial cocycles for a set of irrationals .2.
Baggett, LW
Medina, HA
Merrill, KTD
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (01) : 89 - 93
[5] BROWDER FE, 1958, P AM MATH SOC, V9, P773
[6] Cassels J. W. S., 1957, An introduction to Diophantine approximation, V45
[7] WEAKLY MIXING TRANSFORMATIONS WHICH ARE NOT STRONGLY MIXING
CHACON, RV
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (03) : 559 - &
[8] de Leeuw K., 1977, C. R. Acad. Sci. Paris Ser. A-B, V285, pA1001
[9] COUNTEREXAMPLES IN ERGODIC THEORY AND NUMBER THEORY
DELJUNCO, A
ROSENBLATT, J
[J]. MATHEMATISCHE ANNALEN, 1979, 245 (03) : 185 - 197
[10] Some aspects of recent works on limit theorems in ergodic theory with speical emphasis on the "central limit theorem"
Derriennic, Y
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (01) : 143 - 158

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