11 papers · 1 filter
Free energy of non-convex multi-species spin glasses with centered Ising spins
Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat
We identify the limit free energy of all multi-species spin glasses with centered spins. The result was previously known only under a convexity assumption on the covariance…
One-sided large deviations for the ground-state energy of spin glasses
Hong-Bin Chen, Alice Guionnet, Justin Ko +2
We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…
Critical point representation of the mutual information in the sparse stochastic block model
Tomas Dominguez, Jean-Christophe Mourrat
We consider the problem of recovering the community structure in the stochastic block model. We aim to describe the mutual information between the observed network and the actual c…
On the local nature of the de Almeida-Thouless line for mixed \(p\)-spin glasses
Jean-Christophe Mourrat, Adrien Schertzer
Jagannath and Tobasco~\cite{JagTob} proposed a generalized de Almeida-Thouless (AT) criterion aimed at characterizing the replica symmetric (RS) regime for a broad class of mixed \…
Operator norm of products of random matrices
Jean-Christophe Mourrat
We study the operator norm of products of independent random matrices with independent and identically distributed entries. For -by- matrices wh…
On the free energy of vector spin glasses with non-convex interactions
Hong-Bin Chen, Jean-Christophe Mourrat
The limit free energy of spin-glass models with convex interactions can be represented as a variational problem involving an explicit functional. Models with non-convex interaction…