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Replica theory of the rigidity of structural glasses

Hajime Yoshino
The Journal of Chemical Physics 136 (21) 214108 (2012)
DOI: 10.1063/1.4722343
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Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses

Giulio Biroli, Charlotte Rulquin, Gilles Tarjus and Marco Tarzia
SciPost Physics 1 (1) (2016)
DOI: 10.21468/SciPostPhys.1.1.007
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Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems

Silvio Franz, Giorgio Parisi, Maxime Sevelev, Pierfrancesco Urbani and Francesco Zamponi
SciPost Physics 2 (3) (2017)
DOI: 10.21468/SciPostPhys.2.3.019
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Liu-Nagel phase diagrams in infinite dimension

Giulio Biroli and Pierfrancesco Urbani
SciPost Physics 4 (4) (2018)
DOI: 10.21468/SciPostPhys.4.4.020
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Disorder-free spin glass transitions and jamming in exactly solvable mean-field models

Hajime Yoshino
SciPost Physics 4 (6) (2018)
DOI: 10.21468/SciPostPhys.4.6.040
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Distribution of rare saddles in the p -spin energy landscape

Valentina Ros
Journal of Physics A: Mathematical and Theoretical 53 (12) 125002 (2020)
DOI: 10.1088/1751-8121/ab73ac
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Jamming and Glass Transitions

Ada Altieri
Springer Theses, Jamming and Glass Transitions 9 (2019)
DOI: 10.1007/978-3-030-23600-7_2
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Fluctuation distributions of energy minima in complex landscapes

Horst-Holger Boltz, Jorge Kurchan and Andrea J. Liu
Physical Review Research 3 (1) (2021)
DOI: 10.1103/PhysRevResearch.3.013061
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Surfing on minima of isostatic landscapes: avalanches and unjamming transition

Silvio Franz, Antonio Sclocchi and Pierfrancesco Urbani
Journal of Statistical Mechanics: Theory and Experiment 2021 (2) 023208 (2021)
DOI: 10.1088/1742-5468/abdc16
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Mean-field stability map of hard-sphere glasses

Ada Altieri and Francesco Zamponi
Physical Review E 100 (3) (2019)
DOI: 10.1103/PhysRevE.100.032140
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Random-field Ising model criticality in a glass-forming liquid

Benjamin Guiselin, Ludovic Berthier and Gilles Tarjus
Physical Review E 102 (4) (2020)
DOI: 10.1103/PhysRevE.102.042129
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Microscopic Theory of Two-Step Yielding in Attractive Colloids

Ada Altieri, Pierfrancesco Urbani and Francesco Zamponi
Physical Review Letters 121 (18) (2018)
DOI: 10.1103/PhysRevLett.121.185503
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On the approach to the equilibrium and the equilibrium properties of a glass-forming model

Barbara Coluzzi and Giorgio Parisi
Journal of Physics A: Mathematical and General 31 (19) 4349 (1998)
DOI: 10.1088/0305-4470/31/19/004
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Metastable states in the Blume-Emery-Griffiths spin-glass model

Antonio de Candia
Journal of Physics A: Mathematical and General 34 (40) L525 (2001)
DOI: 10.1088/0305-4470/34/40/101
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The role of the free-energy landscape in the dynamics of mean-field glassy systems

Giulio Biroli
Journal of Physics: Condensed Matter 12 (29) 6375 (2000)
DOI: 10.1088/0953-8984/12/29/309
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On non-linear susceptibility in supercooled liquids

Silvio Franz and Giorgio Parisi
Journal of Physics: Condensed Matter 12 (29) 6335 (2000)
DOI: 10.1088/0953-8984/12/29/305
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An investigation of the hidden structure of states in a mean-field spin-glass model

Andrea Cavagna, Irene Giardina and Giorgio Parisi
Journal of Physics A: Mathematical and General 30 (20) 7021 (1997)
DOI: 10.1088/0305-4470/30/20/009
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Glass transition and effective potential in the hypernetted chain approximation

Miguel Cardenas, Silvio Franz and Giorgio Parisi
Journal of Physics A: Mathematical and General 31 (9) L163 (1998)
DOI: 10.1088/0305-4470/31/9/001
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Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses

Alain Barrat, Silvio Franz and Giorgio Parisi
Journal of Physics A: Mathematical and General 30 (16) 5593 (1997)
DOI: 10.1088/0305-4470/30/16/006
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Quenched complexity of the mean-fieldp-spin spherical model with external magnetic field

Andrea Cavagna, Juan P Garrahan and Irene Giardina
Journal of Physics A: Mathematical and General 32 (5) 711 (1999)
DOI: 10.1088/0305-4470/32/5/004
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Dynamical TAP approach to mean field glassy systems

Giulio Biroli
Journal of Physics A: Mathematical and General 32 (48) 8365 (1999)
DOI: 10.1088/0305-4470/32/48/301
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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)
DOI: 10.1088/0305-4470/34/26/302
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Yield stress, heterogeneities and activated processes in soft glassy materials

Ludovic Berthier
Journal of Physics: Condensed Matter 15 (11) S933 (2003)
DOI: 10.1088/0953-8984/15/11/317
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Dynamics within metastable states in a mean-field spin glass

A Barrat, R Burioni and M Mézard
Journal of Physics A: Mathematical and General 29 (5) L81 (1996)
DOI: 10.1088/0305-4470/29/5/001
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A tentative replica study of the glass transition

Marc Mézard and Giorgio Parisi
Journal of Physics A: Mathematical and General 29 (20) 6515 (1996)
DOI: 10.1088/0305-4470/29/20/009
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Thermodynamics of glasses: a first principles computation

Marc Mézard and Giorgio Parisi
Journal of Physics: Condensed Matter 11 (10A) A157 (1999)
DOI: 10.1088/0953-8984/11/10A/011
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Statistical physics of structural glasses

Marc Mézard and Giorgio Parisi
Journal of Physics: Condensed Matter 12 (29) 6655 (2000)
DOI: 10.1088/0953-8984/12/29/336
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Structure of metastable states in spin glasses by means of a three replica potential

Andrea Cavagna, Irene Giardina and Giorgio Parisi
Journal of Physics A: Mathematical and General 30 (13) 4449 (1997)
DOI: 10.1088/0305-4470/30/13/004
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Basins of attraction of metastable states of the sphericalp-spin model

A Barrat and S Franz
Journal of Physics A: Mathematical and General 31 (6) L119 (1998)
DOI: 10.1088/0305-4470/31/6/001
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Quantitative investigation of the mean-field scenario for the structural glass transition from a schematic mode-coupling analysis of experimental data

V Krakoviack and C Alba-Simionesco
Europhysics Letters (EPL) 51 (4) 420 (2000)
DOI: 10.1209/epl/i2000-00511-0
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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)
DOI: 10.1088/0305-4470/36/21/201
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A field-theoretical approach to the spin glass transition: models with long but finite interaction range

Silvio Franz and Fabio Lucio Toninelli
Journal of Statistical Mechanics: Theory and Experiment 2005 (01) P01008 (2005)
DOI: 10.1088/1742-5468/2005/01/P01008
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Properties of the Geometry of Solutions and Capacity of Multilayer Neural Networks with Rectified Linear Unit Activations

Carlo Baldassi, Enrico M. Malatesta and Riccardo Zecchina
Physical Review Letters 123 (17) (2019)
DOI: 10.1103/PhysRevLett.123.170602
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Large deviations of glassy effective potentials

Silvio Franz and Jacopo Rocchi
Journal of Physics A: Mathematical and Theoretical 53 (48) 485002 (2020)
DOI: 10.1088/1751-8121/ab9aeb
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Marginally stable phases in mean-field structural glasses

Camille Scalliet, Ludovic Berthier and Francesco Zamponi
Physical Review E 99 (1) (2019)
DOI: 10.1103/PhysRevE.99.012107
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On the Dynamics of the Glass Transition on Bethe Lattices

Andrea Montanari and Guilhem Semerjian
Journal of Statistical Physics 124 (1) 103 (2006)
DOI: 10.1007/s10955-006-9103-1
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Rigorous Inequalities Between Length and Time Scales in Glassy Systems

Andrea Montanari and Guilhem Semerjian
Journal of Statistical Physics 125 (1) 23 (2006)
DOI: 10.1007/s10955-006-9175-y
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Fundamental limits of detection in the spiked Wigner model

Ahmed El Alaoui, Florent Krzakala and Michael Jordan
The Annals of Statistics 48 (2) (2020)
DOI: 10.1214/19-AOS1826
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Effective potential in glass forming liquids

Antonio de Candia
Journal of Statistical Mechanics: Theory and Experiment 2005 (02) L02001 (2005)
DOI: 10.1088/1742-5468/2005/02/L02001
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Glassy Nature of the Hard Phase in Inference Problems

Fabrizio Antenucci, Silvio Franz, Pierfrancesco Urbani and Lenka Zdeborová
Physical Review X 9 (1) (2019)
DOI: 10.1103/PhysRevX.9.011020
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Complex Behaviour of Glassy Systems

Felix Ritort
Lecture Notes in Physics, Complex Behaviour of Glassy Systems 492 122 (1997)
DOI: 10.1007/BFb0104822
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Spin Glasses: Statics and Dynamics

Claudio Chamon and Leticia F. Cugliandolo
Spin Glasses: Statics and Dynamics 225 (2009)
DOI: 10.1007/978-3-7643-9891-0_10
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Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case

Elisabeth Agoritsas, Thibaud Maimbourg and Francesco Zamponi
Journal of Physics A: Mathematical and Theoretical 52 (14) 144002 (2019)
DOI: 10.1088/1751-8121/ab099d
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A Note on the Guerra and Talagrand Theorems for Mean Field Spin Glasses: The Simple Case of Spherical Models

Silvio Franz and Francesca Tria
Journal of Statistical Physics 122 (2) 313 (2006)
DOI: 10.1007/s10955-005-8007-9
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New Approaches to Problems in Liquid State Theory

G. Parisi
New Approaches to Problems in Liquid State Theory 107 (1999)
DOI: 10.1007/978-94-011-4564-0_8
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Configurational entropy of glass-forming liquids

Ludovic Berthier, Misaki Ozawa and Camille Scalliet
The Journal of Chemical Physics 150 (16) 160902 (2019)
DOI: 10.1063/1.5091961
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Time evolution and thermodynamics for a nonequilibrium system in phase-space

Chen-Huan Wu
Canadian Journal of Physics 97 (6) 609 (2019)
DOI: 10.1139/cjp-2017-0913
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On the overlap between configurations in glassy liquids

Benjamin Guiselin, Gilles Tarjus and Ludovic Berthier
The Journal of Chemical Physics 153 (22) 224502 (2020)
DOI: 10.1063/5.0022614
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Wide flat minima and optimal generalization in classifying high-dimensional Gaussian mixtures

Carlo Baldassi, Enrico M Malatesta, Matteo Negri and Riccardo Zecchina
Journal of Statistical Mechanics: Theory and Experiment 2020 (12) 124012 (2020)
DOI: 10.1088/1742-5468/abcd31
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On random graphs and the statistical mechanics of granular matter

J Berg and A Mehta
Europhysics Letters (EPL) 56 (6) 784 (2001)
DOI: 10.1209/epl/i2001-00588-3
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Aging in lattice-gas models with constrained dynamics

J Kurchan, L Peliti and M Sellitto
Europhysics Letters (EPL) 39 (4) 365 (1997)
DOI: 10.1209/epl/i1997-00363-0
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Metastable states, relaxation times and free-energy barriers in finite-dimensional glassy systems

S Franz
Europhysics Letters (EPL) 73 (4) 492 (2006)
DOI: 10.1209/epl/i2005-10420-8
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A thermodynamic description of colloidal glasses

Mauro Sellitto and Francesco Zamponi
EPL (Europhysics Letters) 103 (4) 46005 (2013)
DOI: 10.1209/0295-5075/103/46005
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Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition

Grzegorz Szamel, Elijah Flenner and Hisao Hayakawa
EPL (Europhysics Letters) 103 (5) 56003 (2013)
DOI: 10.1209/0295-5075/103/56003
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From complex to simple : hierarchical free-energy landscape renormalized in deep neural networks

Hajime Yoshino
SciPost Physics Core 2 (2) (2020)
DOI: 10.21468/SciPostPhysCore.2.2.005
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Dynamical instantons and activated processes in mean-field glass models

Valentina Ros, Giulio Biroli and Chiara Cammarota
SciPost Physics 10 (1) (2021)
DOI: 10.21468/SciPostPhys.10.1.002
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Exploratory study of the glassy landscape near jamming

Claudia Artiaco, Paolo Baldan and Giorgio Parisi
Physical Review E 101 (5) (2020)
DOI: 10.1103/PhysRevE.101.052605
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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)
DOI: 10.1088/1742-5468/ab7f33
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Gradient descent dynamics in the mixed p-spin spherical model: finite-size simulations and comparison with mean-field integration

Giampaolo Folena, Silvio Franz and Federico Ricci-Tersenghi
Journal of Statistical Mechanics: Theory and Experiment 2021 (3) 033302 (2021)
DOI: 10.1088/1742-5468/abe29f
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Gibbs measures and phase transitions on sparse random graphs

Amir Dembo and Andrea Montanari
Brazilian Journal of Probability and Statistics 24 (2) (2010)
DOI: 10.1214/09-BJPS027
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Role of Synaptic Stochasticity in Training Low-Precision Neural Networks

Carlo Baldassi, Federica Gerace, Hilbert J. Kappen, Carlo Lucibello, Luca Saglietti, Enzo Tartaglione and Riccardo Zecchina
Physical Review Letters 120 (26) (2018)
DOI: 10.1103/PhysRevLett.120.268103
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The Spiked Matrix Model With Generative Priors

Benjamin Aubin, Bruno Loureiro, Antoine Maillard, Florent Krzakala and Lenka Zdeborova
IEEE Transactions on Information Theory 67 (2) 1156 (2021)
DOI: 10.1109/TIT.2020.3033985
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Ahmed El Alaoui and Florent Krzakala
1874 (2018)
DOI: 10.1109/ISIT.2018.8437810
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