Random closed sets viewed as random recursions

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چکیده

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Random closed sets viewed as random recursions

It is known that the box dimension of any Martin-Löf random closed set of {0, 1}N is log2( 43 ). Barmpalias et al. [Journal of Logic and Computation, Vol. 17, No. 6 (2007)] gave one method of producing such random closed sets and then computed the box dimension, and posed several questions regarding other methods of construction. We outline a method using random recursive constructions for comp...

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2009

ISSN: 0933-5846,1432-0665

DOI: 10.1007/s00153-009-0126-6