3 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
Shattering in the Ising Pure -Spin Model
David Gamarnik, Aukosh Jagannath, Eren C. Kızıldağ
We study the Ising pure -spin model for large . We investigate the landscape of the Hamiltonian of this model. We show that for any and any large enough , the model…
Existence of the free energy for heavy-tailed spin glasses
Aukosh Jagannath, Patrick Lopatto
We study the free energy of a mean-field spin glass whose coupling distribution has power law tails. Under the assumption that the couplings have infinite variance and finite mean,…
Shattering Versus Metastability in Spin Glasses
Gérard Ben Arous, Aukosh Jagannath
Our goal in this work is to better understand the relationship between replica symmetry breaking, shattering, and metastability. To this end, we study the static and dynamic behavi…
The Overlap Gap Property and Approximate Message Passing Algorithms for -spin models
David Gamarnik, Aukosh Jagannath
We consider the algorithmic problem of finding a near ground state (near optimal solution) of a -spin model. We show that for a class of algorithms broadly defined as Approximat…
On spin distributions for generic p-spin models
Antonio Auffinger, Aukosh Jagannath
We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial…