Abstract
An Edwards-Anderson (EA) spin glass model [EA75] is a disordered Ising model on ℤ d whose nearest neighbor couplings \(J = \left( {{J_e}:e \in {E^d}} \right)\) are i.i.d. random variables (on some (Ω, ℱ, ν)) with a common symmetric distribution μ (i.e., J e and — J e are equidistributed). The most common examples are the Gaussian (where μ is a mean zero normal distribution) and the \(\pm \mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}}\over J}\) (where \(\mu = {1 \over 2}{\delta _{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}}\over J} }} + {1 \over 2}{\delta _{ - \mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}}\over J} }}\)) models. We place no restrictions on μ beyond symmetry
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© 1997 Springer Basel AG
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Newman, C.M. (1997). Low Temperature States of Disordered Systems. In: Topics in Disordered Systems. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8912-4_5
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DOI: https://doi.org/10.1007/978-3-0348-8912-4_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-5777-1
Online ISBN: 978-3-0348-8912-4
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