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In a companion paper we developed the generalized TAP approach for general multi-species spherical mixed $p$-spin models.
Solvable model of a spin glass
D. Sherrington and S. Kirkpatrick · 1975
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Solution of ‘solvable model of a spin glass’
D. J. Thouless, P. W. Anderson, and R. G. Palmer · 1977
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Infinite number of order parameters for spin-glasses
G. Parisi · 1979
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Metastable states in spin glasses
A. J. Bray and M. A. Moore · 1980
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A limit theorem for the norm of random matrices
S. Geman · 1980
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A sequence of approximated solutions to the s-k model for spin glasses
G. Parisi · 1980
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A sequence of approximated solutions to the s-k model for spin glasses
G. Parisi · 1980
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Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model
T. Plefka · 1982
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Weighted averages and order parameters for the infinite range Ising spin glass
C. De Dominicis and A. P. Young · 1983
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The simplest spin glass
D. J. Gross and M. Mezard · 1984
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Spin glass in an lsing two-sublattice magnet
I. Ya. Korenblit and E. F. Shender · 1985
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Antiferromagnetic spin glass in the Ising model
I. Ya. Korenblit, Y. A. Fyodorov, and E. F. Shender · 1987
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Phase transitions in frustrated metamagnets
I. Ya. Korenblit, Y. A. Fyodorov, and E. F. Shender · 1987
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The spherical p-spin interaction spin glass model: the statics
A. Crisanti and H.-J. Sommers · 1992
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Barriers and metastable states as saddle points in the replica approach
J. Kurchan, G. Parisi, and M. A. Virasoro · 1993
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Thouless-anderson-palmer approach to the spherical p-spin spin glass model
A. Crisanti and H.-J. Sommers · 1995
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Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
M. Aizenman, R. Sims, and S. L. Starr · 2003
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On the formal equivalence of the TAP and thermodynamic methods in the SK model
A. Cavagna, I. Giardina, G. Parisi, and M. Mézard · 2003
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Broken replica symmetry bounds in the mean field spin glass model
F. Guerra · 2003
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Free energy of the spherical mean field model
M. Talagrand · 2006
Cited alongside, same era.
The Parisi formula
M. Talagrand · 2006
Cited alongside, same era.
Spin glasses and Stein’s method
S. Chatterjee · 2010
Cited alongside, same era.
Equilibrium statistical mechanics of bipartite spin systems
A. Barra, G. Genovese, and F. Guerra · 2011
Cited alongside, same era.
Mean field models for spin glasses. Volume I
M. Talagrand · 2011
Cited alongside, same era.
Complexity of random smooth functions on the high-dimensional sphere
A. Auffinger and G. Ben Arous · 2013
Cited alongside, same era.
Random matrices and complexity of spin glasses
A. Auffinger, G. Ben Arous, and J. Černý · 2013
Free energy landscapes in spherical spin glasses
E. Subag · 2018
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On spin distributions for generic p-spin models
A. Auffinger and A. Jagannath · 2019
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Thouless-Anderson-Palmer equations for generic p p -spin glasses
A. Auffinger and A. Jagannath · 2019
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Replica symmetry breaking in multi-species Sherrington-Kirkpatrick model
E. Bates, L. Sloman, and Y. Sohn · 2019
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The TAP-Plefka variational principle for the spherical SK model
D. Belius and N. Kistler · 2019
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A Morita type proof of the replica-symmetric formula for SK
E. Bolthausen · 2019
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Cited alongside, same era.
The Aizenman-Sims-Starr scheme and Parisi formula for mixed p p -spin spherical models
W.-K. Chen · 2013
Cited alongside, same era.
Free energy and complexity of spherical bipartite models
A. Auffinger and W.-K. Chen · 2014
Cited alongside, same era.
Mean field bipartite spin models treated with mechanical techniques
A. Barra, A. Galluzzi, F. Guerra, A. Pizzoferrato, and D. Tantari · 2014
Cited alongside, same era.
An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
E. Bolthausen · 2014
Cited alongside, same era.
The Parisi formula for mixed p p -spin models
D. Panchenko · 2014
Cited alongside, same era.
Later among the works it cites.
Free energy of bipartite spherical Sherrington–Kirkpatrick model
J. Baik and J. O. Lee · 2020
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Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime
G. Ben Arous, E. Subag, and O. Zeitouni · 2020
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The generalized TAP free energy II
W.-K. Chen, D. Panchenko, and E. Subag · 2020
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Free energy upper bound for mean-field vector spin glasses
J.-D. Mourrat · 2020
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Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses
E. Bates and Y. Sohn · 2021
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Free energy in multi-species mixed p p -spin spherical models
E. Bates and Y. Sohn · 2021
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The ground state energy and concentration of complexity in spherical bipartite models
P. Kivimae · 2021
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Complexity of bipartite spherical spin glasses
B. McKenna · 2021
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Nonconvex interactions in mean-field spin glasses
J.-D. Mourrat · 2021
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The free energy of spherical pure p p -spin models – computation from the TAP approach
E. Subag · 2021
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On the second moment method and RS phase of multi-species spherical spin glasses
E. Subag · 2021
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TAP approach for multi-species spherical spin glasses I: general theory
E. Subag · 2021
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