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Mean field spin glass models have undergone substantial mathematical development, but finite dimensional short range spin glasses remain much less understood.
Theory of spin glasses
S. F. Edwards and P. W. Anderson · 1975
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Random-field instability of the ordered state of continuous symmetry
Y. Imry and S.-k. Ma · 1975
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Solvable model of a spin-glass
D. Sherrington and S. Kirkpatrick · 1975
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Computers and Intractability: A guide to the theory of NP-completeness
M. R. Garey and D. S. Johnson · 1979
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Scaling theory of Ising spin glasses
W. L. McMillan · 1984
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Critical behavior of the three-dimensional Ising spin glass
A. J. Bray and M. A. Moore · 1985
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The ground state of the three-dimensional random-field Ising model
J. Z. Imbrie · 1985
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Ordered phase of short-range Ising spin-glasses
D. S. Fisher and D. A. Huse · 1986
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Chaotic nature of the spin-glass phase
A. J. Bray and M. A. Moore · 1987
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Pure states in spin glasses
D. A. Huse and D. S. Fisher · 1987
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Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications , volume 9
M. Mézard, G. Parisi, and M. A. Virasoro · 1987
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Equilibrium behavior of the spin-glass ordered phase
D. S. Fisher and D. A. Huse · 1988
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Rounding of first-order phase transitions in systems with quenched disorder
M. Aizenman and J. Wehr · 1989
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Rounding effects of quenched randomness on first-order phase transitions
M. Aizenman and J. Wehr · 1990
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Unifying maximum cut and minimum cut of a planar graph
W.-K. Shih, S. Wu, and Y.-S. Kuo · 1990
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Edge-isoperimetric inequalities in the grid
B. Bollobás and I. Leader · 1991
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Multiple states and thermodynamic limits in short-ranged Ising spin-glass models
C. M. Newman and D. L. Stein · 1992
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Thermodynamic chaos and the structure of short-range spin glasses
C. M. Newman and D. L. Stein · 1998
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Spin and link overlaps in three-dimensional spin glasses
F. Krzakala and O. C. Martin · 2000
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Nature of the spin glass state
M. Palassini and A. P. Young · 2000
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On the origin of ultrametricity
G. Parisi and F. Ricci-Tersenghi · 2000
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Effects of a bulk perturbation on the ground state of 3D Ising spin glasses
E. Marinari and G. Parisi · 2001
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Are there incongruent ground states in 2d Edwards–Anderson spin glasses?
C. M. Newman and D. L. Stein · 2001
Cited alongside, same era.
Ordering and broken symmetry in short-ranged spin glasses
C. M. Newman and D. L. Stein · 2003
Cited alongside, same era.
Overlap equivalence in the Edwards–Anderson model
P. Contucci, C. Giardinà, C. Giberti, and C. Vernia · 2006
Cited alongside, same era.
Ultrametricity in the Edwards–Anderson model
P. Contucci, C. Giardinà, C. Giberti, G. Parisi, and C. Vernia · 2007
Cited alongside, same era.
Mean field theory of spin glasses: Statics and dynamics
G. Parisi · 2007
Cited alongside, same era.
Disorder chaos and multiple valleys in spin glasses
S. Chatterjee · 2009
Cited alongside, same era.
Universality of chaos and ultrametricity in mixed p p -spin models
A. Auffinger and W.-K. Chen · 2016
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Chaos in temperature in generic 2 p 2p -spin models
D. Panchenko · 2016
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Frustration and fluctuations in systems with quenched disorder
D. L. Stein · 2016
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No percolation in low temperature spin glass
N. Berger and R. J. Tessler · 2017
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Temperature chaos in some spherical mixed p p -spin models
W.-K. Chen and D. Panchenko · 2017
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Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed p p -spin models
W.-K. Chen and A. Sen · 2017
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Uniqueness of ground states for short-range spin glasses in the half-plane
L.-P. Arguin, M. Damron, C. M. Newman, and D. L. Stein · 2010
Cited alongside, same era.
The Fourier spectrum of critical percolation
C. Garban, G. Pete, and O. Schramm · 2010
Cited alongside, same era.
Mean field models for spin glasses: Volume I: Basic examples
M. Talagrand · 2010
Cited alongside, same era.
Mean Field Models for Spin Glasses: Volume II: Advanced Replica-Symmetry and Low Temperature
M. Talagrand · 2011
Cited alongside, same era.
Disorder chaos in the Sherrington–Kirkpatrick model with external field
W.-K. Chen · 2013
Cited alongside, same era.
Perspectives on spin glasses
P. Contucci and C. Giardinà · 2013
Cited alongside, same era.
Fluctuations of the free energy in the mixed p p -spin models with external field
W.-K. Chen, P. Dey, and D. Panchenko · 2017
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The geometry of the Gibbs measure of pure spherical spin glasses
E. Subag · 2017
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Disorder chaos in some diluted spin glass models
W.-K. Chen and D. Panchenko · 2018
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On the energy landscape of the mixed even p p -spin model
W.-K. Chen, M. Handschy, and G. Lerman · 2018
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Extremal decomposition for random Gibbs measures: from general metastates to metastates on extremal random Gibbs measures
C. Cotar, B. Jahnel, and C. Külske · 2018
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A relation between disorder chaos and incongruent states in spin glasses on ℤ d \mathbb{Z}^{d}
L.-P. Arguin, C. M. Newman, and D. L. Stein · 2019
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On absence of disorder chaos for spin glasses on ℤ d \mathbb{Z}^{d}
L.-P. Arguin and J. Hanson · 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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A simple approach to chaos for p p -spin models
R. Eldan · 2020
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Ground state stability in two spin glass models
L.-P. Arguin, C. M. Newman, and D. L. Stein · 2021
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Quantitative disorder effects in low-dimensional spin systems
P. Dario, M. Harel, and R. Peled · 2021
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Exponential decay of correlations in the two-dimensional random field Ising model
J. Ding and J. Xia · 2021
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Long range order for random field Ising and Potts models
J. Ding and Z. Zhuang · 2021
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The overlap gap property: A topological barrier to optimizing over random structures
D. Gamarnik · 2021
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Tight Lipschitz hardness for optimizing mean field spin glasses
B. Huang and M. Sellke · 2021
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