Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
From MaRDI portal
Publication:514287
DOI10.1007/s00220-016-2808-3zbMath1360.82041arXiv1512.08492OpenAlexW3104497997MaRDI QIDQ514287
Publication date: 1 March 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08492
Central limit and other weak theorems (60F05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Symmetry breaking in quantum theory (81R40)
Related Items (30)
Sharp complexity asymptotics and topological trivialization for the (p, k) spiked tensor model ⋮ Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interaction ⋮ Free energy in multi-species mixed \(p\)-spin spherical models ⋮ On the energy landscape of spherical spin glasses ⋮ On the energy landscape of the mixed even \(p\)-spin model ⋮ MAX \(\kappa\)-cut and the inhomogeneous Potts spin Glass ⋮ Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses ⋮ Statistical thresholds for tensor PCA ⋮ On properties of the spherical mixed vector \(p\)-spin model ⋮ On absence of disorder chaos for spin glasses on \(\mathbb{Z}^d \) ⋮ Free energy of multiple systems of spherical spin glasses with constrained overlaps ⋮ Free energy subadditivity for symmetric random Hamiltonians ⋮ The free energy of spherical pure \(p\)-spin models: computation from the TAP approach ⋮ Ultrametricity in spin glasses ⋮ Optimizing mean field spin glasses with external field ⋮ Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass ⋮ Hardness of Random Optimization Problems for Boolean Circuits, Low-Degree Polynomials, and Langevin Dynamics ⋮ Localization in Gaussian disordered systems at low temperature ⋮ Bounds on the complexity of Replica Symmetry Breaking for spherical spin glasses ⋮ Ferromagnetic to paramagnetic transition in spherical spin glass ⋮ Low temperature asymptotics of spherical mean field spin glasses ⋮ Free energy of bipartite spherical Sherrington-Kirkpatrick model ⋮ On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model ⋮ Spherical spin glass model with external field ⋮ Bounding flows for spherical spin glass dynamics ⋮ Existence of two-step replica symmetry breaking for the spherical mixed \(p\)-spin glass at zero temperature ⋮ Triviality of the geometry of mixed \(p\)-spin spherical Hamiltonians with external field ⋮ A spin Glass model for reconstructing nonlinearly encrypted signals corrupted by noise ⋮ Overlaps of a spherical spin glass model with microscopic external field ⋮ Concentration of the complexity of spherical pure p-spin models at arbitrary energies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Disorder chaos in the Sherrington-Kirkpatrick model with external field
- The Aizenman-Sims-Starr scheme and Parisi formula for mixed \(p\)-spin spherical models
- Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model
- Disorder chaos in the spherical mean-field model
- Spectral norm of products of random and deterministic matrices
- Free energy of the spherical mean field model
- Fluctuations of eigenvalues and second order Poincaré inequalities
- The complexity of spherical \(p\)-spin models: a second moment approach
- On properties of Parisi measures
- Fluctuations of the free energy in the mixed \(p\)-spin models with external field
- The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model
- Complexity of random smooth functions on the high-dimensional sphere
- Superconcentration and Related Topics
- The Sherrington-Kirkpatrick Model
- Random Matrices and Complexity of Spin Glasses
- Upper and Lower Bounds for Stochastic Processes
This page was built for publication: Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
