ISSN 0032-9460, Problems of Information Transmission, 2014, Vol. 50, No. 3, pp. 292–301. c Pleiades Publishing, Inc., 2014. Original Russian Text c M.A. Raskin, 2014, published in Problemy Peredachi Informatsii, 2014, Vol. 50, No. 3, pp. 101–111. LETTERS TO THE EDITOR Remark on “Toom’s Partial Order Is Transitive” Published in Probl. Peredachi Inf., 2012, no. 2 M. A. Raskin DOI: 10.1134/S0032946014030089 In my paper “Toom’s Partial Order Is Transitive” (Probl. Peredachi Inf., 2012, vol. 48, no. 2, pp. 79–99) there is a mistake in the proof of Theorem 3. In the construction given in the paper for the proof of additivity of the constructed measures α and β , we assume that the distributions of zeros inserted into a given word y with respect to the measures α and β can be taken to be independent. This assumption does not take into account the fact that the distribution of the number of zeros and the distribution of the succeeding nonzero symbol may be dependent. For example, Y -projection of the measure α may consist of independently chosen equiprobable blocks ⊕⊕ and ⊕⊕⊕. This mistake can be corrected by using averaging and considering the accumulation point of the
Problems of Information Transmission – Springer Journals
Published: Oct 16, 2014
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud