Recursively renewable words and coding of irrational rotations
نویسندگان
چکیده
منابع مشابه
Irrational rotations motivate measurable sets
In 1914 Constantin Carathéodory gave his definition of a measurable set, a definition that is crucial in the general theory of integration. This is because a “primitive” notion of area or measure, on a smaller family of sets, can be extended to the larger family of measurable sets, and it is this larger family that has the necessary properties for a natural and complete theory of integration. T...
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In the process of obtaining these results we make some observations, which may be of more general interest, concerning the problems of singularity and continuity of the spectral types of skew products. See §2 and §4. Our approach is based on the method of approximations as formulated by Katok and Stepin [4, 5] and later developed and modified by a number of authors [1, 3, 8, 9]. For the continu...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2007
ISSN: 0025-5645
DOI: 10.2969/jmsj/05941199