Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound
Mathematical Physics
2011-08-25 v2 Disordered Systems and Neural Networks
math.MP
Abstract
Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for short-ranged spin glasses, under weaker hypotheses than previously available, namely without the assumption of the annealed bound.
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Cite
@article{arxiv.0809.4229,
title = {Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound},
author = {Pierluigi Contucci and Shannon Starr},
journal= {arXiv preprint arXiv:0809.4229},
year = {2011}
}
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8 pages