Found 37 Documents (Results 1–37)
On the TAP equations via the cavity approach in the generic mixed \(p\)-spin models. (English) Zbl 1536.82026
Generalized TAP free energy. (English) Zbl 07748347
On some approximations for sums of \(m\)-dependent random variables. (English) Zbl 1519.60038
MSC:
60F05
On some approximations for sums of independent random variables. (English) Zbl 1489.60042
MSC:
60F05
Average Gromov hyperbolicity and the Parisi ansatz. (English) Zbl 1457.51006
Reviewer: Mikhail Belolipetsky (Rio de Janeiro)
Dynamics for spherical spin glasses: disorder dependent initial conditions. (English) Zbl 1456.82846
Reviewer: Utkir A. Rozikov (Tashkent)
From Parisi to Boltzmann. Gibbs potentials and high temperature expansion in mean field. (English) Zbl 1446.82040
Gayrard, Véronique (ed.) et al., Statistical mechanics of classical and disordered systems. Proceedings of the international conference “Advances in statistical mechanics”, CIRM, Luminy, France, August 28–31, 2018. Cham: Springer. Springer Proc. Math. Stat. 293, 193-214 (2019).
Geometry of the Gibbs measure for the discrete 2D Gaussian free field with scale-dependent variance. (English) Zbl 1378.60079
The geometry of the Gibbs measure of pure spherical spin glasses. (English) Zbl 1379.60043
Reviewer: N. G. Gamkrelidze (Moskva)
Approximate ultrametricity for random measures and applications to spin glasses. (English) Zbl 1361.60035
The Legendre structure of the Parisi formula. (English) Zbl 1362.82029
Reviewer: Farruh Mukhamedov (Kuantan)
High dimensional robust M-estimation: asymptotic variance via approximate message passing. (English) Zbl 1357.62220
Hierarchical exchangeability of pure states in mean field spin glass models. (English) Zbl 1320.60159
Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field. (English) Zbl 1301.60042
Reviewer: Utkir A. Rozikov (Tashkent)
An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model. (English) Zbl 1288.82038
Reviewer: Dominik Strzałka (Rzeszów)
MSC:
82C22
Spin glass models from the point of view of spin distributions. (English) Zbl 1281.60081
Reviewer: Guy Jumarie (Montréal)
Random overlap structures: properties and applications to SPIN glasses. (English) Zbl 1275.82005
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
Some estimates of the normal approximation for independent non-identically distributed random variables. (English) Zbl 1283.60040
MSC:
60F05
Some estimates of the normal approximation for \(\varphi \)-mixing random variables. (English) Zbl 1227.60031
MSC:
60F05
From an Itô type calculus for Gaussian processes to integrals of log-normal processes increasing in the convex order. (English) Zbl 1233.60008
Reviewer: Moshe Shaked (Tucson)
Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case. (English) Zbl 1226.82030
A deletion-invariance property for random measures satisfying the Ghirlanda-Guerra identities. (English) Zbl 1219.60087
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