On the centralizer of an infinite mixing rank-one transformation

被引：0
|
作者：
V. V. Ryzhikov
J.-P. Thouvenot
机构：
[1] Lomonosov Moscow State University,
[2] Université Pierre et Marie Curie,undefined
来源：
Functional Analysis and Its Applications | 2015年 / 49卷
关键词：
mixing; rank-one transformation; sigma-finite measure; minimal self-joinings;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A property of minimal self-joinings for mixing rank-one transformations preserving the measure of an infinite Lebesgue space is established. Its main consequence is the triviality of the centralizer of such transformations.
引用
收藏
页码：230 / 233
页数：3
相关论文
共 50 条
  • [31] SPLITTING OF RANK-ONE VALUATIONS
    JA, BP
    COMMUNICATIONS IN ALGEBRA, 1991, 19 (03) : 777 - 794
  • [32] ACCELERATING WITH RANK-ONE UPDATES
    EIROLA, T
    NEVANLINNA, O
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 121 : 511 - 520
  • [33] A RANK-ONE COHESIVE SET
    DOWNEY, RG
    YUE, Y
    ANNALS OF PURE AND APPLIED LOGIC, 1994, 68 (02) : 161 - 171
  • [34] Rank-one quantum games
    T. Cooney
    M. Junge
    C. Palazuelos
    D. Pérez-García
    computational complexity, 2015, 24 : 133 - 196
  • [35] Rank-one quantum games
    Cooney, T.
    Junge, M.
    Palazuelos, C.
    Perez-Garcia, D.
    COMPUTATIONAL COMPLEXITY, 2015, 24 (01) : 133 - 196
  • [36] Classification of Rank-One Submanifolds
    Raffaelli, Matteo
    RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [37] Centralizers of rank-one homeomorphisms
    Hill, Aaron
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 543 - 556
  • [38] Classification of Rank-One Submanifolds
    Matteo Raffaelli
    Results in Mathematics, 2023, 78
  • [39] The failure of rank-one connections
    Iwaniec, T
    Verchota, GC
    Vogel, AL
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 163 (02) : 125 - 169
  • [40] Word complexity of (measure-theoretically) weakly mixing rank-one subshifts
    Creutz, Darren
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (05) : 1330 - 1366
12345