SINGULAR MEASURES IN CIRCLE DYNAMICS

被引：22
作者：
GRACZYK, J [1 ]
SWIATEK, G [1 ]
机构：
[1] SUNY STONY BROOK,INST MATH SCI,STONY BROOK,NY 11794
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 157卷 / 02期
关键词：
D O I：
10.1007/BF02099758
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Critical circle homeomorphisms have an invariant measure totally singular with respect to the Lebesgue measure. We prove that singularities of the invariant measure are of Holder type. The Hausdorff dimension of the invariant measure is less than 1 but greater than 0.
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页码：213 / 230
页数：18
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