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- W4313447715 abstract "We present a new approach to local independence in spin glasses, i.e. the phenomenon that any fixed subset of coordinates is asymptotically independent in the thermodynamic limit. The approach generalizes the rigorous cavity method from Talagrand by considering multiple cavity sites. Under conditions of thin-shell and overlap concentration, a general random projections result, of standalone interest, characterizes the joint distributions of the cavity fields and reveals their asymptotic independence. The framework is general enough to encompass the classical and soft spin ($[-1,1]$) Sherrington-Kirkpatrick models, as well as the Gardner spin glasses." @default.
- W4313447715 created "2023-01-06" @default.
- W4313447715 creator A5059645216 @default.
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- W4313447715 date "2022-12-30" @default.
- W4313447715 modified "2023-10-18" @default.
- W4313447715 title "Local independence in mean-field spin glasses" @default.
- W4313447715 doi "https://doi.org/10.48550/arxiv.2212.14851" @default.
- W4313447715 hasPublicationYear "2022" @default.
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