On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses
Fuente:
arXiv
Saved in:
| Main Authors: | Auffinger, Antonio, Alaoui, Ahmed El, Sellke, Mark |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Shattering in Pure Spherical Spin Glasses
by: Alaoui, Ahmed El, et al.
Published: (2023)
by: Alaoui, Ahmed El, et al.
Published: (2023)
On Marginal Stability in Low Temperature Spherical Spin Glasses
by: Sellke, Mark
Published: (2024)
by: Sellke, Mark
Published: (2024)
The Threshold Energy of Low Temperature Langevin Dynamics for Pure Spherical Spin Glasses
by: Sellke, Mark
Published: (2023)
by: Sellke, Mark
Published: (2023)
Optimizing Mean Field Spin Glasses with External Field
by: Sellke, Mark
Published: (2021)
by: Sellke, Mark
Published: (2021)
Tight Low Degree Hardness for Optimizing Pure Spherical Spin Glasses
by: Sellke, Mark
Published: (2025)
by: Sellke, Mark
Published: (2025)
Strong Low Degree Hardness for Stable Local Optima in Spin Glasses
by: Huang, Brice, et al.
Published: (2025)
by: Huang, Brice, et al.
Published: (2025)
Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms
by: Alaoui, Ahmed El
Published: (2024)
by: Alaoui, Ahmed El
Published: (2024)
Exponentially Slow Mixing of the Low Temperature SK Model
by: Sellke, Mark
Published: (2025)
by: Sellke, Mark
Published: (2025)
A Constructive Proof of the Spherical Parisi Formula
by: Huang, Brice, et al.
Published: (2023)
by: Huang, Brice, et al.
Published: (2023)
Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization
by: Alaoui, Ahmed El, et al.
Published: (2022)
by: Alaoui, Ahmed El, et al.
Published: (2022)
Optimization Algorithms for Multi-Species Spherical Spin Glasses
by: Huang, Brice, et al.
Published: (2023)
by: Huang, Brice, et al.
Published: (2023)
Sequential Dynamics in Ising Spin Glasses
by: Dandi, Yatin, et al.
Published: (2025)
by: Dandi, Yatin, et al.
Published: (2025)
Michel Talagrand and the Rigorous Theory of Mean Field Spin Glasses
by: Chatterjee, Sourav
Published: (2026)
by: Chatterjee, Sourav
Published: (2026)
Critical Droplets and Replica Symmetry Breaking
by: Newman, C. M., et al.
Published: (2024)
by: Newman, C. M., et al.
Published: (2024)
Sampling from Spherical Spin Glasses in Total Variation via Algorithmic Stochastic Localization
by: Huang, Brice, et al.
Published: (2024)
by: Huang, Brice, et al.
Published: (2024)
Strong Topological Trivialization of Multi-Species Spherical Spin Glasses
by: Huang, Brice, et al.
Published: (2023)
by: Huang, Brice, et al.
Published: (2023)
On the Atypical Solutions of the Symmetric Binary Perceptron
by: Barbier, Damien, et al.
Published: (2023)
by: Barbier, Damien, et al.
Published: (2023)
Weak Poincaré Inequalities, Simulated Annealing, and Sampling from Spherical Spin Glasses
by: Huang, Brice, et al.
Published: (2024)
by: Huang, Brice, et al.
Published: (2024)
A Friendly Tutorial on Mean-Field Spin Glass Techniques for Non-Physicists
by: Montanari, Andrea, et al.
Published: (2022)
by: Montanari, Andrea, et al.
Published: (2022)
Spectral properties of the zero temperature Edwards-Anderson model
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
Kac-Rice inspired approach to non-Hermitian random matrices
by: Fyodorov, Yan V
Published: (2025)
by: Fyodorov, Yan V
Published: (2025)
Spectral boundaries of deterministic matrices deformed by rotationally invariant random non-Hermitian ensembles
by: Bousseyroux, Pierre, et al.
Published: (2026)
by: Bousseyroux, Pierre, et al.
Published: (2026)
The eigenvalues and eigenvectors of finite-rank normal perturbations of large rotationally invariant non-Hermitian matrices
by: Bousseyroux, Pierre, et al.
Published: (2026)
by: Bousseyroux, Pierre, et al.
Published: (2026)
Gradual eigenvector ergodization in coupled Ginibre matrices
by: Disertori, Margherita, et al.
Published: (2026)
by: Disertori, Margherita, et al.
Published: (2026)
An informal introduction to the Parisi formula
by: Mourrat, Jean-Christophe
Published: (2024)
by: Mourrat, Jean-Christophe
Published: (2024)
Distribution of the Diagonal Entries of the Resolvent of a Complex Ginibre Matrix
by: Bousseyroux, Pierre, et al.
Published: (2024)
by: Bousseyroux, Pierre, et al.
Published: (2024)
Capacity threshold for the Ising perceptron
by: Huang, Brice
Published: (2024)
by: Huang, Brice
Published: (2024)
R-transforms for non-Hermitian matrices: a spherical integral approach
by: Bousseyroux, Pierre, et al.
Published: (2026)
by: Bousseyroux, Pierre, et al.
Published: (2026)
Spin Glass Concepts in Computer Science, Statistics, and Learning
by: Montanari, Andrea
Published: (2026)
by: Montanari, Andrea
Published: (2026)
Emergent Topological Universality and Marginal Replica Symmetry Breaking in Gauge-Correlated Spin Glasses
by: Yadav, Alok
Published: (2026)
by: Yadav, Alok
Published: (2026)
At Most Two Infinite Blue Clusters in the CMR Representation of the Edwards-Anderson Spin Glass
by: Pei, Yan Ru
Published: (2026)
by: Pei, Yan Ru
Published: (2026)
Local geometry of NAE-SAT solutions in the condensation regime
by: Sly, Allan, et al.
Published: (2023)
by: Sly, Allan, et al.
Published: (2023)
Ground States of the Mean-Field Spin Glass with 3-Spin Couplings
by: Boettcher, Stefan, et al.
Published: (2025)
by: Boettcher, Stefan, et al.
Published: (2025)
The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses
by: Kouraich, Anouar, et al.
Published: (2025)
by: Kouraich, Anouar, et al.
Published: (2025)
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line
by: Okuyama, Manaka, et al.
Published: (2026)
by: Okuyama, Manaka, et al.
Published: (2026)
Exploring Replica Symmetry Breaking and Topological Collapse in Spin Glasses with Quantum Annealing
by: Ghosh, Kumar
Published: (2025)
by: Ghosh, Kumar
Published: (2025)
Free Energy Difference Fluctuations in Short-Range Spin Glasses
by: Newman, C. M., et al.
Published: (2024)
by: Newman, C. M., et al.
Published: (2024)
The stochastic porous medium equation in one dimension
by: Bernard, Maximilien, et al.
Published: (2025)
by: Bernard, Maximilien, et al.
Published: (2025)
Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials
by: Fyodorov, Yan, et al.
Published: (2025)
by: Fyodorov, Yan, et al.
Published: (2025)
Ground state energies of multipartite $p$-spin models -- partially lifted RDT view
by: Stojnic, Mihailo
Published: (2025)
by: Stojnic, Mihailo
Published: (2025)
Similar Items
-
Shattering in Pure Spherical Spin Glasses
by: Alaoui, Ahmed El, et al.
Published: (2023) -
On Marginal Stability in Low Temperature Spherical Spin Glasses
by: Sellke, Mark
Published: (2024) -
The Threshold Energy of Low Temperature Langevin Dynamics for Pure Spherical Spin Glasses
by: Sellke, Mark
Published: (2023) -
Optimizing Mean Field Spin Glasses with External Field
by: Sellke, Mark
Published: (2021) -
Tight Low Degree Hardness for Optimizing Pure Spherical Spin Glasses
by: Sellke, Mark
Published: (2025)