Cover Image

Existence of Full Replica Symmetry Breaking for the Sherrington-Kirkpatrick Model at Low Temperature

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhou, Yuxin
Format:	Preprint
Published:	2025
Subjects:	Probability Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Replica Symmetry of a Variant of the Sherrington-Kirkpatrick Spin Glass
by: Brennecke, Christian, et al.
Published: (2024)

Replica symmetry up to the de Almeida-Thouless line in the Sherrington-Kirkpatrick model
by: Lopatto, Patrick
Published: (2026)

Bounds on the covariance matrix of the Sherrington-Kirkpatrick model
by: Alaoui, Ahmed El, et al.
Published: (2022)

Replica symmetry breaking in multi-species Sherrington-Kirkpatrick model
by: Bates, Erik, et al.
Published: (2018)

Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with heavy-tailed interaction
by: Kim, Taegyun, et al.
Published: (2024)

A short proof of free energy limit of two spin spherical Sherrington-Kirkpatrick model at any temperature
by: Banerjee, Debapratim
Published: (2025)

The Larkin Mass and Replica Symmetry Breaking in the Elastic Manifold
by: Arous, Gerard Ben, et al.
Published: (2024)

Analyzing dynamics and average case complexity in the spherical Sherrington-Kirkpatrick model: a focus on extreme eigenvectors
by: Yu, Tingzhou
Published: (2024)

The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model
by: Manai, Chokri, et al.
Published: (2026)

On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses
by: Auffinger, Antonio, et al.
Published: (2025)

Existence of de Almeida-Thouless-type instability in the transverse field Sherrington-Kirkpatrick model
by: Itoi, C., et al.
Published: (2024)

Universality of the fluctuations of the free energy in generalized Sherrington-Kirkpatrick models and the log likelihood ratio in spiked Wigner models
by: Choo, Hyunsuk, et al.
Published: (2026)

Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2
by: Davies, Ewan, et al.
Published: (2026)

On the Gardner Transition in the Ising Pure $p$-Spin Glass
by: Zhou, Yuxin
Published: (2024)

Existence of a percolation threshold on finite transitive graphs
by: Easo, Philip
Published: (2022)

Hypergraph Counting and Mixed $p$-Spin Glass Models under Replica Symmetry
by: Dey, Partha S., et al.
Published: (2022)

Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature
by: Brennecke, Christian, et al.
Published: (2023)

The Two Point Function of the SK Model without External Field at High Temperature
by: Brennecke, Christian, et al.
Published: (2022)

Fractional stochastic Landau-Lifshitz Navier-Stokes equations in dimension $d \geq 3$: Existence and (non-)triviality
by: Jin, Ruhong, et al.
Published: (2024)

Exponentially Slow Mixing of the Low Temperature SK Model
by: Sellke, Mark
Published: (2025)

Fluctuations for the Sherrington--Kirkpatrick spin glass model near the critical temperature
by: Dey, Partha S., et al.
Published: (2026)

Rectangular Matrix Additions in Low and High Temperatures
by: Xu, Jiaming
Published: (2023)

Critical Droplets and Replica Symmetry Breaking
by: Newman, C. M., et al.
Published: (2024)

Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes
by: Padilla-Garza, David, et al.
Published: (2025)

DLR Equations for the Superstable Bose Gas at any Temperature and Activity
by: Bellot, Guillaume, et al.
Published: (2024)

Empirical universality and non-universality of local dynamics in the Sherrington-Kirkpatrick model
by: Liu, Grace, et al.
Published: (2025)

Low-temperature Ising dynamics with random initializations
by: Gheissari, Reza, et al.
Published: (2021)

Critical long-range percolation II: Low effective dimension
by: Hutchcroft, Tom
Published: (2025)

Existence and uniqueness of the conformally covariant geodesic metric on simple conformal loop ensemble carpets
by: Miller, Jason, et al.
Published: (2025)

Existence of long-range order in random-field Ising model on Dyson hierarchical lattice
by: Okuyama, Manaka, et al.
Published: (2024)

On Marginal Stability in Low Temperature Spherical Spin Glasses
by: Sellke, Mark
Published: (2024)

Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization
by: Alaoui, Ahmed El, et al.
Published: (2022)

Transition Path Theory For Lévy-Type Processes: SDE Representation and Statistics
by: Huang, Yuanfei, et al.
Published: (2025)

The Threshold Energy of Low Temperature Langevin Dynamics for Pure Spherical Spin Glasses
by: Sellke, Mark
Published: (2023)

Asymptotics of two-point correlations in the multi-species q-TAZRP
by: Kuan, Jeffrey, et al.
Published: (2023)

Learning the Sherrington-Kirkpatrick Model Even at Low Temperature
by: Chandrasekaran, Gautam, et al.
Published: (2024)

The rate of convergence of the critical mean-field O(N) magnetization via multivariate nonnormal Stein's method
by: Garoni, Timothy M., et al.
Published: (2025)

Central Limit Theorem of Overlap for the Mean Field Ghatak-Sherrington model
by: Sheng, Yueqi, et al.
Published: (2023)

Some Rigorous Results on the Lévy Spin Glass Model
by: Chen, Wei-Kuo, et al.
Published: (2023)

A Cellular Representation of the Potts Lattice Higgs Model
by: Eldridge, Summer, et al.
Published: (2026)