Recently, Keating, Linden, and Wells [Markov Processes Relat. Fields 21 (3), 537-555
(2015)] showed that the density of states measure of a nearest-neighbor quantum spin glass …

In this note, we point out that infinite-volume Gibbs measures of spin glass models on the
hypercube can be identified as random probability measures on the unit ball of a Hilbert …

We prove that the empirical density of states of quantum spin glasses on arbitrary graphs
converges to a normal distribution as long as the maximal degree is negligible compared …

This thesis is devoted to the study of different quantum spin glass models. In the case of the
Quantum Random Energy Model, we prove Goldschmidt's formula for the free energy and …

We establish three equivalent versions of a Parisi formula for the free energy of mean-field
spin glasses in a transversal magnetic field. These results are derived from available results …

We consider the free energy of a mean-field quantum spin glass described by ap-spin
interaction and a transversal magnetic field. Recent rigorous results for the case p=∞, ie the …

We consider the problem of estimating the maximal energy of quantum $ p $-local spin glass
random Hamiltonians, the quantum analogues of widely studied classical spin glass models …

The celebrated Marčenko–Pastur law, that considers the asymptotic spectral density of
random covariance matrices, has found a great number of applications in physics, biology …

We show that mixing for local, reversible dynamics of mean field spin glasses is
exponentially slow in the low temperature regime. We introduce a notion of free energy …

We consider the problem of estimating the ground state energy of quantum $ p $-local spin
glass random Hamiltonians, the quantum analogues of widely studied classical spin glass …