124 citations · 430 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…
Parisi formula for the ground state energy in the mixed p-spin model
Antonio Auffinger, Wei-Kuo Chen
We show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Par…
A duality principle in spin glasses
Antonio Auffinger, Wei-Kuo Chen
We prove a duality principle that connects the thermodynamic limits of the free energies of the Hamiltonians and their squared interactions. Under the main assumption that the limi…
On the time constant of high dimensional first passage percolation
Antonio Auffinger, Si Tang
We study the time constant in first passage percolation on as a function of the dimension. We prove that if the passage times have finite mean, $$\lim_{d…