Related papers: Free energy in the Sherrington-Kirkpatrick model w…
This paper has been withdrawn.
This paper has been withdrawn, because relevant publications, related to the subject of the paper, were overlooked by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors.
The paper has been withdrawn by the author.
In this short note, we prove a central limit theorem for the free energy in the Ghatak- Sherrington model at high enough temperatures, based on a generalization of the stochastic calculus method for the SK model derived in [CN95, Tin05].
This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3
This paper has been withdrawn by the author because it needs to be rewritten completely.
We show that the limiting free energy in Sherrington-Kirkpatrick's Spin Glass Model does not depend on the environment.
The paper has been withdrawn.
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
This paper has been withdrawn by the authors.
Recently Michel Talagrand gave a rigorous proof of the Parisi formula in the Sherrington-Kirkpatrick model. In this paper we build upon the methodology developed by Talagrand and extend his result to the class of SK type models in which the…
This paper has been withdrawn. It was an early draft submitted prematurely in error. A complete version is to be submitted shortly.
This paper has been withdrawn by the author due to a coming paper completely superseding it.
We consider the free energy of the bipartite spherical Sherrington--Kirkpatrick model. We find the critical temperature and prove the limiting free energy for all non-critical temperature. We also show that the law of the fluctuation of the…
This paper has been withdrawn by the author.
This paper has been withdrawn while the author verifies the literature.
This paper has been withdrawn by the authors, as it was combined with "Conformally invariant energies of knots I" (math/0409396) to be "Conformally invariant energies of knots" which has replaced the former.
This paper has been withdrawn by the author.