Related papers: Phase Diagram Structure of the Harper Map
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors because the paper is largely revised and improved.
The paper is withdrawn.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
This paper has been withdrawn by the author due to similarity to Author's other paper
This paper was withdrawn by the authors.
This paper has been withdrawn by the author, due a crucial error in the main idea.
this paper has been withdrawn by the author due to crucial type errors
This paper has been withdrawn at the request of one of the authors.
This paper has been withdrawn by the authors due to its publication
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.
This paper has been withdrawn by the authors due to an error in Section 7.
The paper has been withdrawn.
This paper has been withdrawn by the author.
The paper has been withdrawn by the author.
The paper was withdrawn due to another possible solution to the dataset that is significantly different in nature. This issue will be addressed shortly and clarified with an additional data point.
This paper has been withdrawn by the author, since most of the results have been published before.
This paper is withdrawn. The revised paper appears in chao-dyn/9904020
This paper has been withdrawn by the authors; the main conclusion is incorrect, as some of the crucial calculations were not properly converged.
This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.