Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

TAP approach for multi-species spherical spin glasses I: General theory

Eliran Subag
Electronic Journal of Probability 30 (none) (2025)
https://doi.org/10.1214/25-EJP1333

Triplets of local minima in a high-dimensional random landscape: correlations, clustering, and memoryless activated jumps

Alessandro Pacco, Alberto Rosso and Valentina Ros
Journal of Statistical Mechanics: Theory and Experiment 2025 (3) 033302 (2025)
https://doi.org/10.1088/1742-5468/adbe40

The magnetic maze: a system with tunable scale invariance

Tian-Gang Zhou, Michael Winer and Brian Swingle
Journal of High Energy Physics 2024 (11) (2024)
https://doi.org/10.1007/JHEP11(2024)132

Generalized TAP Free Energy

Wei‐Kuo Chen, Dmitry Panchenko and Eliran Subag
Communications on Pure and Applied Mathematics 76 (7) 1329 (2023)
https://doi.org/10.1002/cpa.22040

Introduction to the dynamics of disordered systems: Equilibrium and gradient descent

Giampaolo Folena, Alessandro Manacorda and Francesco Zamponi
Physica A: Statistical Mechanics and its Applications 631 128152 (2023)
https://doi.org/10.1016/j.physa.2022.128152

TAP approach for multispecies spherical spin glasses II: The free energy of the pure models

Eliran Subag
The Annals of Probability 51 (3) (2023)
https://doi.org/10.1214/22-AOP1605

Equilibrium fluctuations in mean-field disordered models

Giampaolo Folena, Giulio Biroli, Patrick Charbonneau, Yi Hu and Francesco Zamponi
Physical Review E 106 (2) (2022)
https://doi.org/10.1103/PhysRevE.106.024605

Spectral form factor of a quantum spin glass

Michael Winer, Richard Barney, Christopher L. Baldwin, Victor Galitski and Brian Swingle
Journal of High Energy Physics 2022 (9) (2022)
https://doi.org/10.1007/JHEP09(2022)032

Properties of Equilibria and Glassy Phases of the Random Lotka-Volterra Model with Demographic Noise

Ada Altieri, Felix Roy, Chiara Cammarota and Giulio Biroli
Physical Review Letters 126 (25) (2021)
https://doi.org/10.1103/PhysRevLett.126.258301

Concentration of the complexity of spherical pure p-spin models at arbitrary energies

Eliran Subag and Ofer Zeitouni
Journal of Mathematical Physics 62 (12) (2021)
https://doi.org/10.1063/5.0070582

Marvels and Pitfalls of the Langevin Algorithm in Noisy High-Dimensional Inference

Stefano Sarao Mannelli, Giulio Biroli, Chiara Cammarota, et al.
Physical Review X 10 (1) (2020)
https://doi.org/10.1103/PhysRevX.10.011057

A constrained TAP approach for disordered spin models: application to the mixed spherical case

Damien Barbier and Leticia F Cugliandolo
Journal of Statistical Mechanics: Theory and Experiment 2020 (6) 063207 (2020)
https://doi.org/10.1088/1742-5468/ab7f33

Solving the spherical p -spin model with the cavity method: equivalence with the replica results

Giacomo Gradenigo, Maria Chiara Angelini, Luca Leuzzi and Federico Ricci-Tersenghi
Journal of Statistical Mechanics: Theory and Experiment 2020 (11) 113302 (2020)
https://doi.org/10.1088/1742-5468/abc4e3

Glassiness and lack of equipartition in random lasers: The common roots of ergodicity breaking in disordered and nonlinear systems

Giacomo Gradenigo, Fabrizio Antenucci and Luca Leuzzi
Physical Review Research 2 (2) (2020)
https://doi.org/10.1103/PhysRevResearch.2.023399

Barriers, trapping times, and overlaps between local minima in the dynamics of the disordered Ising p -spin model

Daniel A. Stariolo and Leticia F. Cugliandolo
Physical Review E 102 (2) (2020)
https://doi.org/10.1103/PhysRevE.102.022126

Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed p -Spin Model

Giampaolo Folena, Silvio Franz and Federico Ricci-Tersenghi
Physical Review X 10 (3) (2020)
https://doi.org/10.1103/PhysRevX.10.031045

Statistical mechanics of low-rank tensor decomposition

Jonathan Kadmon and Surya Ganguli
Journal of Statistical Mechanics: Theory and Experiment 2019 (12) 124016 (2019)
https://doi.org/10.1088/1742-5468/ab3216

Activated dynamics of the Ising p-spin disordered model with finite number of variables

Daniel A. Stariolo and Leticia F. Cugliandolo
EPL (Europhysics Letters) 127 (1) 16002 (2019)
https://doi.org/10.1209/0295-5075/127/16002

Maximum-energy records in glassy energy landscapes

Ivailo Hartarsky, Marco Baity-Jesi, Riccardo Ravasio, Alain Billoire and Giulio Biroli
Journal of Statistical Mechanics: Theory and Experiment 2019 (9) 093302 (2019)
https://doi.org/10.1088/1742-5468/ab38bf

Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions

Valentina Ros, Gerard Ben Arous, Giulio Biroli and Chiara Cammarota
Physical Review X 9 (1) (2019)
https://doi.org/10.1103/PhysRevX.9.011003

The Landscape of the Spiked Tensor Model

Gérard Ben Arous, Song Mei, Andrea Montanari and Mihai Nica
Communications on Pure and Applied Mathematics 72 (11) 2282 (2019)
https://doi.org/10.1002/cpa.21861

Activated dynamics: An intermediate model between the random energy model and thep-spin model

Marco Baity-Jesi, Alexandre Achard-de Lustrac and Giulio Biroli
Physical Review E 98 (1) (2018)
https://doi.org/10.1103/PhysRevE.98.012133

The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential

Ada Altieri, Silvio Franz and Giorgio Parisi
Journal of Statistical Mechanics: Theory and Experiment 2016 (9) 093301 (2016)
https://doi.org/10.1088/1742-5468/2016/09/093301

Dynamical arrest with zero complexity: The unusual behavior of the spherical Blume-Emery-Griffiths disordered model

Corrado Rainone, Ulisse Ferrari, Matteo Paoluzzi and Luca Leuzzi
Physical Review E 92 (6) (2015)
https://doi.org/10.1103/PhysRevE.92.062150

A note on mixed matrix moments for the complex Ginibre ensemble

Meg Walters and Shannon Starr
Journal of Mathematical Physics 56 (1) (2015)
https://doi.org/10.1063/1.4904451

A method that reveals the multi-level ultrametric tree hidden in p -spin-glass-like systems

R Baviera and M A Virasoro
Journal of Statistical Mechanics: Theory and Experiment 2015 (12) P12007 (2015)
https://doi.org/10.1088/1742-5468/2015/12/P12007

Random Matrices and Complexity of Spin Glasses

Antonio Auffinger, Gérard Ben Arous and Jiří Černý
Communications on Pure and Applied Mathematics 66 (2) 165 (2013)
https://doi.org/10.1002/cpa.21422

Complexity of random smooth functions on the high-dimensional sphere

Antonio Auffinger and Gerard Ben Arous
The Annals of Probability 41 (6) (2013)
https://doi.org/10.1214/13-AOP862

Exactly solvable spin–glass models with ferromagnetic couplings: The spherical multi-p-spin model in a self-induced field

Andrea Crisanti and Luca Leuzzi
Nuclear Physics B 870 (1) 176 (2013)
https://doi.org/10.1016/j.nuclphysb.2013.01.011

Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices

Yan V. Fyodorov
Physical Review Letters 92 (24) (2004)
https://doi.org/10.1103/PhysRevLett.92.240601

Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses

Alessia Annibale, Giulia Gualdi and Andrea Cavagna
Journal of Physics A: Mathematical and General 37 (47) 11311 (2004)
https://doi.org/10.1088/0305-4470/37/47/001

Quenched computation of the dependence of complexity on the free energy in the Sherrington-Kirkpatrick model

A. Crisanti, L. Leuzzi, G. Parisi and T. Rizzo
Physical Review B 70 (6) (2004)
https://doi.org/10.1103/PhysRevB.70.064423

Violation of the fluctuation–dissipation theorem in glassy systems: basic notions and the numerical evidence

A Crisanti and F Ritort
Journal of Physics A: Mathematical and General 36 (21) R181 (2003)
https://doi.org/10.1088/0305-4470/36/21/201

Glass and polycrystal states in a lattice spin model

Andrea Cavagna, Irene Giardina and Tomás S. Grigera
The Journal of Chemical Physics 118 (15) 6974 (2003)
https://doi.org/10.1063/1.1560937

On the formal equivalence of the TAP and thermodynamic methods in the SK model

Andrea Cavagna, Irene Giardina, Giorgio Parisi and Marc M zard
Journal of Physics A: Mathematical and General 36 (5) 1175 (2003)
https://doi.org/10.1088/0305-4470/36/5/301

The role of the Becchi–Rouet–Stora–Tyutin supersymmetry in the calculation of the complexity for the Sherrington–Kirkpatrick model

Alessia Annibale, Andrea Cavagna, Irene Giardina, Giorgio Parisi and Elisa Trevigne
Journal of Physics A: Mathematical and General 36 (43) 10937 (2003)
https://doi.org/10.1088/0305-4470/36/43/018

Supersymmetric complexity in the Sherrington-Kirkpatrick model

Alessia Annibale, Andrea Cavagna, Irene Giardina and Giorgio Parisi
Physical Review E 68 (6) 061103 (2003)
https://doi.org/10.1103/PhysRevE.68.061103

Glassy dynamics, metastability limit and crystal growth in a lattice spin model

A Cavagna, I Giardina and T. S Grigera
Europhysics Letters (EPL) 61 (1) 74 (2003)
https://doi.org/10.1209/epl/i2003-00247-9

The number of metastable states in the generalized random orthogonal model

R Cherrier, D S Dean and A Lef vre
Journal of Physics A: Mathematical and General 36 (14) 3935 (2003)
https://doi.org/10.1088/0305-4470/36/14/301

Universality behaviour in ‘ideal’ dynamical arrest transitions of a lattice glass model

Kenneth A Dawson, Aonghus Lawlor, Paolo de Gregorio, et al.
Physica A: Statistical Mechanics and its Applications 316 (1-4) 115 (2002)
https://doi.org/10.1016/S0378-4371(02)01210-4

Imaginary-time replica formalism study of a quantum spherical p-spin-glass model

Leticia Cugliandolo, D. Grempel and Constantino da Silva Santos
Physical Review B 64 (1) 014403 (2001)
https://doi.org/10.1103/PhysRevB.64.014403

Self-generated randomness, defect wandering, and viscous flow in stripe glasses

Harry Westfahl, Jörg Schmalian and Peter Wolynes
Physical Review B 64 (17) 174203 (2001)
https://doi.org/10.1103/PhysRevB.64.174203

Role of saddles in mean-field dynamics above the glass transition

Andrea Cavagna, Irene Giardina and Giorgio Parisi
Journal of Physics A: Mathematical and General 34 (26) 5317 (2001)
https://doi.org/10.1088/0305-4470/34/26/302

On the energy minima of the Sherrington-Kirkpatrick model

Barbara Coluzzi, Enzo Marinari, Giorgio Parisi and Heiko Rieger
Journal of Physics A: Mathematical and General 33 (21) 3851 (2000)
https://doi.org/10.1088/0305-4470/33/21/301

Are mean-field spin-glass models relevant for the structural glass transition?

A Crisanti and F Ritort
Physica A: Statistical Mechanics and its Applications 280 (1-2) 155 (2000)
https://doi.org/10.1016/S0378-4371(99)00632-9

Lennard-Jones binary mixture: A thermodynamical approach to glass transition

Barbara Coluzzi, Giorgio Parisi and Paolo Verrocchio
The Journal of Chemical Physics 112 (6) 2933 (2000)
https://doi.org/10.1063/1.480866