Aging of spherical spin glasses

By Gérard Ben Arous, Amir Dembo, Alice Guionnet. 2001

257 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Economics and Econometrics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f6fc9b82ecd722c2dd3c34064d0ac35b0d46c1b

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Citations in the corpus

Large deviations for the largest eigenvalue of Rademacher matrices (2018, methodology): “This formula could be used to prove a large deviations principle for the empirical measure in [8] and for the largest eigenvalue [7] (see also [19] for further discussions of the Wishart case, and [12]).”
The complexity of spherical p-spin models - a second moment approach (2015, background): “The following two bounds on the maximal eigenvalue, both proved in [7], are useful to us.”
A Fourier view on the R-transform and related asymptotics of spherical integrals (2005, methodology): “For that, we adopt the strategy used in [2] and consider the joint deviations of the law of (XN , μ̂N ).”
Second order asymptotics for matrix models (2006, background): “MAUREL-SEGALA where the last inequality comes from the bound on the largest eigenvalue of the GUE shown, for instance, in [5].”
Large deviations of the extreme eigenvalues of random deformations of matrices (2010, methodology): “Again relying on the explicit joint law of the eigenvalues, a LDP was derived in [8] for the same Gaussian type models.”
SPECTRAL DISTRIBUTIONS OF ADJACENCY AND LAPLACIAN MATRICES OF RANDOM GRAPHS (2010, background): “ large deviation inequality P(|n−1/2λ max − √ 2|≥ε)≤e−nCε for any ε>0 as n is suﬃciently SPECTRAL OF LAPLACIAN MATRICES 5 large, where Cε >0 is some constant (see (1.24) and (1.25) from [36] or [8]). With or without the independence assumption, this inequality implies from the Borel–Cantelli l”
Large deviations principle for the largest eigenvalue of Wigner matrices without Gaussian tails (2015, result): “Regarding the large deviations of the extreme eigenvalues of Wigner matrices, the first result was proved in [5] in the case of the GOE and then extended in [1, p.”
Approximation of Rectangular Beta-Laguerre Ensembles and Large Deviations (2013, background): “In particular, Ben Arous and Guionnet [8] investigate the large deviation for Wigner’s semi-circle law; Ben Arous [7] and Anderson [3] study the largest eigenvalues ofWigner andWishart matrices; a corollary fromHiai and Petz [34] says that a normalized empirical distribution μn of the positive eigen”
Edge Universality of Beta Ensembles (2013, methodology): “For the extreme eigenvalues the large deviations principle with speed N is proved in [5] for the GOE case, and extended in [2] Theorem 2.”
Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles (2006, background): “One can see in particular that K θ differs from the rate function for the deviations of the largest eigenvalue of the non-deformed model that was obtained in (4).”