68 citations · 477 across the 37 of their papers we have counts for
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Thouless-Anderson-Palmer equations for the generic p-spin glass model
Antonio Auffinger, Aukosh Jagannath
We study the Thouless-Anderson-Palmer (TAP) equations for spin glasses on the hypercube. First, using a random, approximately ultrametric decomposition of the hypercube, we decompo…
On the Spectral Gap of Spherical Spin Glass Dynamics
Reza Gheissari, Aukosh Jagannath
We consider the time to equilibrium for the Langevin dynamics of the spherical -spin glass model of system size . We show that the log-Sobolev constant and spectral gap are o…
Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper, we study the Crisanti-Sommers variational problem, which is a variational formula for the free energy of spherical mixed -spin glasses. We begin by computing the…
Low Temperature Asymptotics in Spherical Mean Field Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper, we study the low temperature limit of the spherical Crisanti-Sommers variational problem. We identify the -limit of the Crisanti-Sommers functionals, thereby esta…