Related papers: Asymptotic behaviour of Turing Machines

This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.

This paper has been withdrawn by the author and it is published in AGAG

This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019

This paper has been withdrawn by the author and replaced by arXiv:0809.4751

This paper has been withdrawn by authors for significant modification.

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn.

This paper has been withdrawn

This paper is removed from the network permanently. The content in this paper has now been put together with hep-th/9310183. See the recently replaced and widely revised version of the latter.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

The paper was withdrawn because of its significant overlap with a paper appeared recently.

This paper has been withdrawn.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author.

This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131

The article is taken out.

The paper was withdrawn by the authors.

This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576