On G-measures and product measures

被引:7
|
作者
Brown, G [1 ]
Dooley, AH
机构
[1] Univ Sydney, Sydney, NSW 2006, Australia
[2] Univ Sydney, Sch Math, Sydney, NSW 2052, Australia
关键词
D O I
10.1017/S0143385798097545
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Techniques from the authors' previous paper [BD1] are applied to unique G-measures, where the g-functions are uniformly Lipschitz. Conditions are found when such a measure is, and is not, equivalent to a measure of product type.
引用
收藏
页码:95 / 107
页数:13
相关论文
共 50 条
  • [1] On uniqueness of g-measures and g-measures
    Fan, AH
    [J]. STUDIA MATHEMATICA, 1996, 119 (03) : 255 - 269
  • [2] G-MEASURES
    HEINICH, H
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 279 (04): : 137 - 139
  • [3] On factors of g-measures
    Verbitskiy, Evgeny
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2011, 22 (3-4): : 315 - 329
  • [4] Uniqueness in g-measures
    Stenflo, Ö
    [J]. NONLINEARITY, 2003, 16 (02) : 403 - 410
  • [5] A class of unique g-measures
    Hulse, P
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1997, 17 : 1383 - 1392
  • [6] Unique Bernoulli g-measures
    Johansson, Anders
    Oberg, Anders
    Pollicott, Mark
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2012, 14 (05) : 1599 - 1615
  • [7] The critical dimension for G-measures
    Mansfield, Daniel F.
    Dooley, Anthony H.
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2017, 37 : 824 - 836
  • [8] STRONGLY MIXING G-MEASURES
    KEANE, M
    [J]. INVENTIONES MATHEMATICAE, 1972, 16 (04) : 309 - &
  • [9] ODOMETER ACTIONS ON G-MEASURES
    BROWN, G
    DOOLEY, AH
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1991, 11 : 279 - 307
  • [10] On g-measures in symbolic dynamics
    Krieger, Wolfgang
    Weiss, Benjamin
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2010, 176 (01) : 1 - 27