Free energy of bipartite spherical Sherrington-Kirkpatrick model
From MaRDI portal
Publication:2028962
DOI10.1214/20-AIHP1062zbMath1467.82036arXiv1711.06364OpenAlexW3093965729MaRDI QIDQ2028962
Publication date: 3 June 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.06364
Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Random matrices (algebraic aspects) (15B52)
Related Items
Free energy fluctuations of the two-spin spherical SK model at critical temperature, Fluctuation results for multi-species Sherrington-Kirkpatrick model in the replica symmetric regime, Free energy in multi-species mixed \(p\)-spin spherical models, A transport equation approach for deep neural networks with quenched random weights, A remark on the spherical bipartite spin glass, Nonconvex interactions in mean-field spin glasses, Fluctuations of the overlap at low temperature in the 2-spin spherical SK model, Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices, TAP approach for multispecies spherical spin glasses II: the free energy of the pure models, The ground state energy and concentration of complexity in spherical bipartite models, Minimax formula for the replica symmetric free energy of deep restricted Boltzmann machines, Ultrametricity in spin glasses, The solution of the deep Boltzmann machine on the Nishimori line, Spherical spin glass model with external field, Deep Boltzmann machines: rigorous results at arbitrary depth, Overlaps of a spherical spin glass model with microscopic external field, Spherical Sherrington-Kirkpatrick model for deformed Wigner matrix with fast decaying edges, Replica analysis of the lattice-gas restricted Boltzmann machine partition function
Cites Work
- Unnamed Item
- Unnamed Item
- Gaussian fluctuations for linear spectral statistics of large random covariance matrices
- Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
- Edge universality of beta ensembles
- Free energy and complexity of spherical bipartite models
- Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model
- Tracy-Widom distribution for the largest eigenvalue of real sample covariance matrices with general population
- Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
- Functional CLT for sample covariance matrices
- Rigidity of eigenvalues of generalized Wigner matrices
- Anisotropic local laws for random matrices
- Local semicircle law with imprimitive variance matrix
- A rate of convergence result for the largest eigenvalue of complex white Wishart matrices
- Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
- Free energy of the spherical mean field model
- Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
- Spectral analysis of large dimensional random matrices
- The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
- A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
- On the distribution of the largest eigenvalue in principal components analysis
- Fluctuations of the free energy in the REM and the \(p\)-spin SK models
- CLT for linear spectral statistics of large-dimensional sample covariance matrices.
- Analysis of the limiting spectral distribution of large dimensional random matrices
- Multi-species mean field spin glasses. Rigorous results
- Universality for the largest eigenvalue of sample covariance matrices with general population
- 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
- Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interaction
- Universality of covariance matrices
- The Parisi formula
- Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems
- Equilibrium statistical mechanics of bipartite spin systems
- Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model
- Ferromagnetic Models for Cooperative Behavior: Revisiting Universality in Complex Phenomena
- The free energy in a multi-species Sherrington-Kirkpatrick model
