Related papers: The Boltzmann-Sinai Ergodic Hypothesis for Hard Ba…

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

This paper has been withdrawn by the author

This paper has been withdrawn by the author due to it contains some errors. A corrected treatment is presented in further publications of the author.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author due to a crucial error in the formulation.

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

This paper has been withdrawn by the author.

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn due to an error, and no further revisions will be made.

This paper has been withdrawn by the author due to serious error found in main argument.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.