Free energy landscapes in spherical spin glasses

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Cites Work

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The Aizenman-Sims-Starr scheme and Parisi formula for mixed \(p\)-spin spherical models
An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
Low temperature asymptotics of spherical mean field spin glasses
Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case
Spin glasses and Stein's method
Construction of pure states in mean field models for spin glasses
Free energy of the spherical mean field model
The Brunn-Minkowski inequality in Gauss space
On Ruelle's probability cascades and an abstract cavity method
Derrida's generalised random energy models. I: Models with finitely many hierarchies
A Gaussian small deviation inequality for convex functions
On the TAP free energy in the mixed \(p\)-spin models
The geometry of the Gibbs measure of pure spherical spin glasses
The complexity of spherical \(p\)-spin models: a second moment approach
On spin distributions for generic \(p\)-spin models
On the stability of the quenched state in mean-field spin-glass models
A mathematical reformulation of Derrida's REM and GREM
Broken replica symmetry bounds in the mean field spin glass model
The Parisi ultrametricity conjecture
Random overlap structures: properties and applications to SPIN glasses
Convergence of the free energy for spherical spin glasses
The generalized TAP free energy. II
A connection between the Ghirlanda-Guerra identities and ultrametricity
On the structure of quasi-stationary competing particle systems
Thouless-Anderson-Palmer equations for generic \(p\)-spin glasses
The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model
The TAP-Plefka variational principle for the spherical SK model
Complexity of random smooth functions on the high-dimensional sphere
On the overlap in the multiple spherical SK models
Estimation in spin glasses: a first step
The Parisi formula
Temperature chaos in some spherical mixed \(p\)-spin models
Replica symmetry breaking and the nature of the spin glass phase
Superconcentration and Related Topics
Approximate Ultrametricity for Random Measures and Applications to Spin Glasses
A Morita Type Proof of the Replica-Symmetric Formula for SK
A remark on the infinite-volume Gibbs measures of spin glasses
General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
On the formal equivalence of the TAP and thermodynamic methods in the SK model
Bounds on the complexity of Replica Symmetry Breaking for spherical spin glasses
The Sherrington-Kirkpatrick Model
Random Matrices and Complexity of Spin Glasses
Following the Ground States of <scp>Full‐RSB</scp> Spherical Spin Glasses
Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime
Random Fields and Geometry
Mean Field Models for Spin Glasses

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