68 citations · 519 across the 21 of their papers we have counts for
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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…
Some Properties of the Phase Diagram for Mixed -Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper we study the Parisi variational problem for mixed -spin glasses with Ising spins. Our starting point is a characterization of Parisi measures whose origin lies in…
A Dynamic Programming Approach to the Parisi Functional
Aukosh Jagannath, Ian Tobasco
G.Parisi predicted an important variational formula for the thermodynamic limit of the intensive free energy for a class of mean field spin glasses. In this paper, we present an el…