Invariant measures for planar piecewise isometries

Invariant measures for planar piecewise isometries

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摘要 In this paper,we discuss the invariant measures for planar piecewise isometries.It is shown that the Hausdorff measure restricted to an almost invariant set with respect to the Hausdorff measure is invariant. In this paper,we discuss the invariant measures for planar piecewise isometries.It is shown that the Hausdorff measure restricted to an almost invariant set with respect to the Hausdorff measure is invariant.

作者陈占和余荣忠傅新楚

机构地区 Department of Mathematics College of Sciences

出处《Journal of Shanghai University(English Edition)》 CAS 2010年第3期174-176,共3页 上海大学学报（英文版）

基金 Project supported by the National Natural Science Foundation of China (Grant No.10672146) the Natural Science Foundation of Jiangxi Province (Grant No.2007GQS0142)

关键词 piecewise isometry （PWI） Hausdorff measure invariant measure piecewise isometry （PWI） Hausdorff measure invariant measure

分类号 O174.12 [理学—数学] U671.4 [理学—基础数学]

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2010年第3期

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Invariant measures for planar piecewise isometries

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