1. Free energy fluctuations in SK and related spin glass models: A literature survey
   2025/10/30 by Collins-Woodfin, Elizabeth, Le, Han Gia · 1 citation
   Physics and Astronomy · #60K35 #82B44 #82D30 #Advanced Condensed Matter Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Probability (math.PR) #Theoretical and Computational Physics
2. Balanced multi-species spin glasses
   2025/07/09 by Bates, Erik, Sohn, Youngtak · 7 citations
   #60G15 #60K35 #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
3. The maximum of the two dimensional Gaussian directed polymer in the subcritical regime
   2025/03/21 by Clément Cosco, Cosco, Clément, Shuta Nakajima +3 · 2 citations
   Mathematics · #82A51 #82D30 #FOS: Mathematics #Geometry and complex manifolds #Primary 60K37 #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #secondary 60K35
4. On free energy of non-convex multi-species spin glasses
   2024/11/20 by Chen, Hong-Bin · 3 citations
   #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR)
5. A Hopf-like formula for mean-field spin glass models
   2024/10/11 by Issa, Victor · 1 citation
   #60K35 #82B44 #82D30 #FOS: Mathematics #Probability (math.PR)
6. Injective norm of real and complex random tensors I: From spin glasses to geometric entanglement
   2024/04/04 by Stéphane Dartois, Benjamin McKenna, Dartois, Stephane +1 · 5 citations
   Computer Science · Mathematics · #15B52 #60B20 #81P42 #81P45 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Stochastic Gradient Optimization Techniques #Tensor decomposition and applications
7. On Parisi measures of Potts spin glasses with correction
   2023/11/20 by Chen, Hong-Bin · 1 citation
   #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR)
8. Statistical mechanics of mean-field disordered systems: a Hamilton-Jacobi approach
   2023/11/15 by Tomas Dominguez, Jean-Christophe Mourrat, Dominguez, Tomas +1 · 3 citations
   Mathematics · Physics and Astronomy · #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
9. Fluctuations of the ground state of the spiked spherical Sherrington-Kirkpatrick model
   2023/07/27 by Belius, David, Fröber, Leon · 1 citation
   #60K40 #82B44 #82D30 #FOS: Mathematics #Probability (math.PR)
10. Features of a spin glass in the random field Ising model
    2023/07/14 by Sourav Chatterjee, Chatterjee, Sourav · 1 citation
    Computer Science · Physics and Astronomy · #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural Networks and Applications #Probability (math.PR) #Theoretical and Computational Physics
11. Mott's law for the v.r.h. random resistor network and for Mott's random walk
    2023/01/16 by Alessandra Faggionato, Faggionato, Alessandra · 1 citation
    Materials Science · Physics and Astronomy · #60G55 #82B43 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Force Microscopy Techniques and Applications #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #Thermal properties of materials
12. Spin glass phase at zero temperature in the Edwards-Anderson model
    2023/01/10 by Sourav Chatterjee, Chatterjee, Sourav · 3 citations
    Economics, Econometrics and Finance · Physics and Astronomy · #82B44 #82D30 #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Probability (math.PR) #Theoretical and Computational Physics
13. Solvable models in the KPZ class: approach through periodic and free boundary Schur measures
    2022/04/18 by Imamura, Takashi, Mucciconi, Matteo, Sasamoto, Tomohiro · 1 citation
    #05E05 #60H15 #60K35 #82B23 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)
14. High temperature TAP upper bound for the free energy of mean field spin glasses
    2022/04/01 by David Belius, Belius, David · 1 citation
    Mathematics · Physics and Astronomy · #60K40 #82B44 #82D30 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
15. Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses
    2021/09/30 by Bates, Erik, Sohn, Youngtak · 3 citations
    #60G15 #60K35 #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
16. Free energy in multi-species mixed p-spin spherical models
    2021/09/30 by Bates, Erik, Sohn, Youngtak · 3 citations
    #60G15 #60K35 #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
17. Scaling limit of the directional conductivity of random resistor networks on simple point processes
    2021/08/25 by Faggionato, A. · 1 citation
    #60G55 #74Q05 #82D30 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)
18. Statistical inference of finite-rank tensors
    2021/04/12 by Chen, Hong-Bin, Mourrat, Jean-Christophe, Xia, Jiaming · 2 citations
    #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Information Theory (cs.IT) #Probability (math.PR)
19. Free energy upper bound for mean-field vector spin glasses
    2020/10/18 by Mourrat, Jean-Christophe · 4 citations
    #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR)
20. Fluctuations of the 2-spin SSK model with magnetic field
    2020/09/26 by Landon, Benjamin, Sosoe, Philippe · 1 citation
    #60B20 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
21. Hamilton-Jacobi equations for inference of matrix tensor products
    2020/09/03 by Chen, Hong-Bin, Xia, Jiaming · 1 citation
    #82B44 #82D30 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR)
22. Hamilton-Jacobi equations for nonsymmetric matrix inference
    2020/06/09 by Chen, Hong-Bin · 1 citation
    #82B44 #82D30 #FOS: Mathematics #Probability (math.PR)
23. Pores for thought: The use of generative adversarial networks for the stochastic reconstruction of 3D multi-phase electrode microstructures with periodic boundaries
    2020/02/17 by Gayon-Lombardo, Andrea, Mosser, Lukas, Brandon, Nigel P. +1 · 3 citations
    #68T10 #68T45 #82D30 #92E99 #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #I.4 #I.4.5 #J.2 #Neural and Evolutionary Computing (cs.NE)
24. Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions
    2019/08/28 by Zhiyuan Geng, Jiajun Tong, Geng, Zhiyuan +1 · 2 citations
    Mathematics · #35J47 #35J50 #82D30 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
25. Hamilton-Jacobi equations for finite-rank matrix inference
    2019/04/10 by Jean-Christophe Mourrat, Mourrat, Jean-Christophe · 1 citation
    Computer Science · Engineering · #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Matrix Theory and Algorithms #Probability (math.PR) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
26. Hamilton-Jacobi equations for mean-field disordered systems
    2018/11/04 by Mourrat, Jean-Christophe · 1 citation
    #82B44 #82D30 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR)
27. The algorithmic hardness threshold for continuous random energy models
    2018/10/11 by Addario-Berry, Louigi, Maillard, Pascal · 3 citations
    #60J80 #60K35 #68Q17 #82D30 #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)
28. Quenched local central limit theorem for random walks in a time-dependent balanced random environment
    2017/10/16 by Jean‐Dominique Deuschel, Xiaoqin Guo, Deuschel, Jean-Dominique +1 · 2 citations
    Arts and Humanities · Mathematics · #35K10 #39A50 #60K37 #82D30 #FOS: Mathematics #Historical and Archaeological Studies #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics
29. Liquid crystals and their defects
    2017/06/21 by Ball, John M. · 4 citations
    #76A15 #82D30 #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)
30. A continuous family of equilibria in ferromagnetic media are ground states
    2015/06/11 by Xifeng Su, Rafael de la Llave, Su, Xifeng +1 · 1 citation
    Mathematics · Physics and Astronomy · #37J50 #49J21 #82B20 #82D30 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

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