RANK-ONE TRANSFORMATIONS,ODOMETERS, AND FINITE FACTORS

被引：3

作者：

Foreman, Matthew ^{[1
]}

Gao, Su ^{[2
,3
]}

Hill, Aaron ^{[4
]}

Silva, Cesar E. ^{[5
]}

Weiss, Benjamin ^{[6
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[4] Proof Sch, 973 Mission St, San Francisco, CA 94103 USA

[5] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

[6] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 255卷 / 01期

关键词：

D O I：

10.1007/s11856-022-2451-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (b) which rank-one transformations factor onto a given odometer, and (c) which rank-one transformations are isomorphic to a given odometer. These naturally yield characterizations of (d) which rank-one transformations factor onto some (unspecified) finite cyclic permutation, (d') which rank-one transformations are totally ergodic, (e) which rank-one transformations factor onto some (unspecified) odometer, and (f) which rank-one transformations are isomorphic to some (unspecified) odometer.

引用

页码：231 / 249

页数：19

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