Related papers: Asymptotic behaviour of Turing Machines

This paper has been withdrawn by the author as it has already been submitted under the title "Twisted character of a small Representation of GL(4)".

There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, to give more clear presentation, this paper is withdrawn.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper is withdrawn because its results have been previously reported in arxiv hep-th/0507200.

The authors have withdrawn this paper.

The paper has been withdrawn by the author.

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This is a typeset version of Alan Turing's declassified Second World War paper \textit{Paper on Statistics of Repetitions}. See the companion paper, \textit{The Applications of Probability to Cryptography}, also available from arXiv at…

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This paper has been withdrawn. Its main conclusions have been published in "On dynamics of integrate-and-fi re neural networks with conductance based synapses", arXiv:0709.4370 and…

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This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn by the author, due an error in claim 1.

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This paper has been withdrawn at the author's request.

This paper has been withdrawn.

This paper has been withdrawn by the authors.