The Ghirlanda-Guerra identities
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چکیده
If the variance of a Gaussian spin-glass Hamiltonian grows like the volume the model fulfills the Ghirlanda-Guerra identities in terms of the normalized Hamiltonian covariance.
منابع مشابه
8 M ay 2 00 9 A connection between the Ghirlanda - Guerra identities and ultrametricity
We consider a symmetric positive definite weakly exchangeable infinite random matrix and show that, under a technical condition that its elements take a finite number of values, the Ghirlanda-Guerra identities imply ultrametricity.
متن کاملA Connection between Ghirlanda-guerra Identities and Ultrametricity
We consider a symmetric positive definite weakly exchangeable infinite random matrix whose elements take a finite number of values and we prove that if the distribution of the matrix satisfies the Ghirlanda-Guerra identities then it is ultrametric with probability one.
متن کاملM ay 2 00 5 the ghirlanda - guerra identities
If the variance of a Gaussian spin-glass Hamiltonian grows like the volume the model fulfills the Ghirlanda-Guerra identities in terms of the normalized Hamiltonian covariance.
متن کامل- guerra identities
If the variance of a Gaussian spin-glass Hamiltonian grows like the volume the model fulfills the Ghirlanda-Guerra identities in terms of the normalized Hamiltonian covariance.
متن کاملSelf-Averaging Identities for Random Spin Systems
We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a special case recovers the Ghirlanda-Guerra and Aizenman-Contucci identities, which are therefore proven, together with their extension, to be valid in a vaste class of spin models. We use the dilute spin glass as a guidi...
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تاریخ انتشار 2005