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A generalization of McMillan's theorem on the case of countable alphabet
E. E. Sokol Belarusian State University, Minsk
Abstract:
In the paper we introduce a fine topology on the set of probability measures. It is proved that the entropy of a measure on a countable set is continuous with respect to the fine topology. Then with the help of this continuity we extend McMillan's theorem to the case of a countable alphabet.
Received: 21.01.2015
Citation:
E. E. Sokol, “A generalization of McMillan's theorem on the case of countable alphabet”, Tr. Inst. Mat., 23:1 (2015), 115–122
Linking options:
https://www.mathnet.ru/eng/timb234 https://www.mathnet.ru/eng/timb/v23/i1/p115
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