Central limit theorem of overlap for the mean field Ghatak-Sherrington model

DOI10.1063/5.0213436MaRDI QIDQ6632849

Yueqi Sheng, Qiang Wu

Publication date: 5 November 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

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) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Cites Work

• A central limit theorem for the overlap in the Hopfield model
• An almost sure central limit theorem for the overlap parameters in the Hopfield model
• Fluctuation results for multi-species Sherrington-Kirkpatrick model in the replica symmetric regime
• A limit theorem for the covariances of spins in the Sherrington-Kirkpatrick model with an external field
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• Rigorous results for the Hopfield model with many patterns
• Free energy in the Potts spin Glass
• Free energy in the mixed \(p\)-spin models with vector spins
• Broken replica symmetry bounds in the mean field spin glass model
• The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature
• Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model
• Fluctuations of the overlap at low temperature in the 2-spin spherical SK model
• The Parisi formula for mixed \(p\)-spin models
• The Parisi formula
• The interaction between multioverlaps in the high temperature phase of the Sherrington–Kirkpatrick spin glass
• About the ergodic regime in the analogical Hopfield neural networks: Moments of the partition function
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model
• Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model
• Neural networks and physical systems with emergent collective computational abilities.
• FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL
• Mean Field Models for Spin Glasses
• Spin Glass Theory and Far Beyond
• Bounds on the covariance matrix of the Sherrington-Kirkpatrick model

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