79 citations · 287 across the 8 of their papers we have counts for
8 papers
The realizable solutions of the TAP equations
T. Aspelmeier, M. A. Moore
We show that the only solutions of the TAP equations for the Sherrington-Kirkpatrick model of Ising spin glasses which can be found by iteration are those whose free energy lies on…
Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions
T. Aspelmeier, Wenlong Wang, M. A. Moore +1
The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the d…
Finite size corrections in the Sherrington-Kirkpatrick model
T. Aspelmeier, A. Billoire, E. Marinari +1
We argue that when the number of spins in the SK model is finite, the Parisi scheme can be terminated after replica-symmetry breaking steps, where . W…
Nature of perturbation theory in spin glasses
J. Yeo, M. A. Moore, T. Aspelmeier
The high-order behavior of the perturbation expansion in the cubic replica field theory of spin glasses in the paramagnetic phase has been investigated. The study starts with the z…
The Complexity of Ising Spin Glasses
T. Aspelmeier, A. J. Bray, M. A. Moore
We compute the complexity (logarithm of the number of TAP states) associated with minima and index-one saddle points of the TAP free energy. Higher-index saddles have smaller compl…
Free energy fluctuations in Ising spin glasses
T. Aspelmeier, M. A. Moore
The sample-to-sample fluctuations of the free energy in finite-dimensional Ising spin glasses are calculated, using the replica method, from higher order terms in the replica numbe…