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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 2, Pages 17–20 (Mi vmumm473)

Mathematics

Computable measures coprojection consistent with ordering relation is not necessarily computable

M. A. Raskin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An example of two computable probabilistic measures is given on infinite binary sequences such that the two measures are comparable (there exists their coupling that forbids the pairs of symbols with the first member less than the second one), but all such couplings are incomputable.

Key words: computable probabilistic measures, measure coupling.

UDC: 510.57

Received: 27.09.2010


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2012, 67:2, 61–63

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