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Invariant measures for planar piecewise isometries

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

piecewise isometry (PWI)Hausdorff measureinvariant measure

CHEN Zhan-he、YU Rong-zhong、FU Xin-chu

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

College of Sciences, Jiujiang University, Jiujiang 332005, Jiangxi, P. R. China

国家自然科学基金Natural Science Foundation of Jiangxi Province

106721462007GQS0142

2010

10.1007/s11741-010-0625-3

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(3)
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