The multi-species mean-field spin-glass on the Nishimori line

DOI10.1007/s10955-020-02684-zzbMath1460.82025arXiv2007.08891OpenAlexW3120326157MaRDI QIDQ2658074

Pierluigi Contucci, Emanuele Mingione, Francesco Camilli, Diego Alberici

Publication date: 18 March 2021

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

Full work available at URL: https://arxiv.org/abs/2007.08891

zbMATH Keywords

replica symmetryNishimori linemulti-species spin-glass

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items

Fluctuation results for multi-species Sherrington-Kirkpatrick model in the replica symmetric regime, Free energy in multi-species mixed \(p\)-spin spherical models, Analyticity of the energy in an Ising spin glass with correlated disorder, Hopfield model with planted patterns: a teacher-student self-supervised learning model, Gauge theory for mixed p-spin glasses, Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks, The solution of the deep Boltzmann machine on the Nishimori line

Cites Work

• Unnamed Item
• The Ghirlanda-Guerra identities
• The thermodynamic limit in mean field spin glass models
• Broken replica symmetry bounds in the mean field spin glass model
• Annealing and replica-symmetry in deep Boltzmann machines
• Multi-species mean field spin glasses. Rigorous results
• On the mixed even-spin Sherrington-Kirkpatrick model with ferromagnetic interaction
• Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
• Equilibrium statistical mechanics of bipartite spin systems
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• Perspectives on Spin Glasses
• Statistical Physics of Spin Glasses and Information Processing
• Griffiths inequalities for the Gaussian spin glass
• The adaptive interpolation method for proving replica formulas. Applications to the Curie–Weiss and Wigner spike models
• Replica symmetry breaking in neural networks: a few steps toward rigorous results
• The free energy in a multi-species Sherrington-Kirkpatrick model