Related papers: Phase Coherence Analysis of Insect Flight

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

The paper is withdrawn due to some errors.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

This paper has been withdrawn by the author(s), due a crucial error in the data.

This paper is withdrawn.

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author due to a crucial error in example.

This paper has been withdrawn

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.