This review provides a perspective on recent developments and their implications for our
understanding of novel quantum phenomena in the physics of two-dimensional organic …

The deep Boltzmann machine on the Nishimori line with a finite number of layers is exactly
solved by a theorem that expresses its pressure through a finite dimensional variational …

In this paper we study the properties of the quenched pressure of a multi-layer spin-glass
model (a deep Boltzmann Machine in artificial intelligence jargon) whose pairwise …

A class of deep Boltzmann machines is considered in the simplified framework of a
quenched system with Gaussian noise and independent entries. The quenched pressure of …

In this paper we study a multi-species disordered model on the Nishimori line. The typical
properties of this line, a set of identities and inequalities among correlation functions, allow …

We consider models of Bayesian inference of signals with vectorial components of finite
dimensionality. We show that under a proper perturbation, these models are replica …

In this paper, we investigate the large-time behavior for a slightly modified version of the
standard p= 2 soft spins dynamics model, including a quartic or higher potential. The …

When non-magnetic impurity immerses in Fermi sea, a regular modulation of charge density
around impurity will appear and such phenomena is called Friedel oscillation (FO). Although …

Gauge theory for mixed p-spin glasses - IOPscience Skip to content IOP Science home
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Parisi's formal replica-symmetry-breaking (RSB) scheme for mean-field spin glasses has
long been interpreted in terms of many pure states organized ultrametrically. However, the …