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Monotonicity and Thermodynamic Limit for Short Range Disordered Models

Mathematical Physics 2009-11-10 v2 Disordered Systems and Neural Networks math.MP

Abstract

If the variance of a short range Gaussian random potential grows like the volume its quenched thermodynamic limit is reached monotonically.

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Cite

@article{arxiv.math-ph/0302013,
  title  = {Monotonicity and Thermodynamic Limit for Short Range Disordered Models},
  author = {Pierluigi Contucci and Sandro Graffi},
  journal= {arXiv preprint arXiv:math-ph/0302013},
  year   = {2009}
}

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