P. Schall, D. A. Weitz, and F. Spaepen, Structural Rearrangements That Govern Flow in Colloidal Glasses, Science, vol.318, issue.5858, p.1895, 2007.
DOI : 10.1126/science.1149308

D. Rodney, A. Tanguy, and D. Vandembroucq, Modeling the mechanics of amorphous solids at different length scale and time scale, Modelling and Simulation in Materials Science and Engineering, vol.19, issue.8, p.83001, 2011.
DOI : 10.1088/0965-0393/19/8/083001
URL : https://hal.archives-ouvertes.fr/hal-00664540

F. Puosi, J. Rottler, and J. Barrat, Plastic response and correlations in athermally sheared amorphous solids, Physical Review E, vol.94, issue.3, p.32604, 2016.
DOI : 10.1103/PhysRevE.94.032604

A. K. Dubey, H. G. Hentschel, I. Procaccia, and M. Singh, Statistics of plastic events in post-yield strain-controlled amorphous solids, Physical Review B, vol.93, issue.22, p.224204, 2016.
DOI : 10.1103/PhysRevB.93.224204

P. Hébraud and F. Lequeux, Physical review letters 81, p.2934, 1998.

J. Lin and M. Wyart, Mean-Field Description of Plastic Flow in Amorphous Solids, Physical Review X, vol.6, issue.1, p.11005, 2016.
DOI : 10.1103/PhysRevX.6.011005

C. S. O-'hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Random Packings of Frictionless Particles, Physical Review Letters, vol.88, issue.7, p.75507, 2002.
DOI : 10.1103/PhysRevLett.88.075507

G. Parisi and F. Zamponi, Mean-field theory of hard sphere glasses and jamming, Reviews of Modern Physics, vol.82, issue.1, p.789, 2010.
DOI : 10.1103/RevModPhys.82.789

S. Torquato and F. H. Stillinger, Jammed hard-particle packings: From Kepler to Bernal and beyond, Reviews of Modern Physics, vol.82, issue.3, p.2633, 2010.
DOI : 10.1103/RevModPhys.82.2633
URL : http://arxiv.org/abs/1008.2982

M. Wyart, Marginal Stability Constrains Force and Pair Distributions at Random Close Packing, Physical Review Letters, vol.109, issue.12, p.125502, 2012.
DOI : 10.1103/PhysRevLett.109.125502

E. Lerner, E. Degiuli, G. Düring, and M. Wyart, Breakdown of continuum elasticity in amorphous solids, Soft Matter, vol.105, issue.3, p.5085, 2014.
DOI : 10.1039/c4sm00311j

M. Wyart, L. Silbert, S. Nagel, and T. Witten, Effects of compression on the vibrational modes of marginally jammed solids, Physical Review E, vol.72, issue.5, p.51306, 2005.
DOI : 10.1103/PhysRevE.72.051306

C. Brito and M. Wyart, Geometric interpretation of previtrification in hard sphere liquids, The Journal of Chemical Physics, vol.131, issue.2, p.24504, 2009.
DOI : 10.1063/1.3157261

E. Lerner, G. Düring, and M. Wyart, Toward a microscopic description of flow near the jamming threshold, EPL (Europhysics Letters), vol.99, issue.5, p.58003, 2012.
DOI : 10.1209/0295-5075/99/58003

P. Charbonneau, E. I. Corwin, G. Parisi, and F. Zamponi, Universal Microstructure and Mechanical Stability of Jammed Packings, Physical Review Letters, vol.109, issue.20, p.205501, 2012.
DOI : 10.1103/PhysRevLett.109.205501

T. R. Kirkpatrick and P. G. Wolynes, Connections between some kinetic and equilibrium theories of the glass transition, Physical Review A, vol.35, issue.7, p.3072, 1987.
DOI : 10.1103/PhysRevA.35.3072

M. Skoge, A. Donev, F. H. Stillinger, and S. Torquato, Packing hyperspheres in high-dimensional Euclidean spaces, Physical Review E, vol.74, issue.4, pp.41127-41138, 2006.
DOI : 10.1103/PhysRevE.74.041127
URL : http://arxiv.org/abs/cond-mat/0608362

P. Charbonneau, A. Ikeda, J. A. Van-meel, and K. Miyazaki, Numerical and theoretical study of a monodisperse hard-sphere glass former, Physical Review E, vol.81, issue.4, p.40501, 2010.
DOI : 10.1103/PhysRevE.81.040501

C. Rainone, P. Urbani, H. Yoshino, and F. Zamponi, Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain, Physical Review Letters, vol.114, issue.1, p.15701, 2015.
DOI : 10.1103/PhysRevLett.114.015701

C. Rainone and P. Urbani, Following the evolution of glassy states under external perturbations: the full replica symmetry breaking solution, Journal of Statistical Mechanics: Theory and Experiment, vol.2016, issue.5, p.53302, 2016.
DOI : 10.1088/1742-5468/2016/05/053302
URL : https://hal.archives-ouvertes.fr/cea-01463152

G. Brambilla, D. E. Masri, M. Pierno, L. Berthier, L. Cipelletti et al., Probing the Equilibrium Dynamics of Colloidal Hard Spheres above the Mode-Coupling Glass Transition, Physical Review Letters, vol.102, issue.8, pp.85703-85707, 2009.
DOI : 10.1103/PhysRevLett.102.085703
URL : https://hal.archives-ouvertes.fr/hal-00323231

S. Singh, M. Ediger, and J. J. De-pablo, Ultrastable glasses from in silico vapour deposition, Nature Materials, vol.67, issue.2, p.139, 2013.
DOI : 10.1038/nmat3521

S. F. Swallen, K. L. Kearns, M. K. Mapes, Y. S. Kim, R. J. Mcmahon et al., Organic Glasses with Exceptional Thermodynamic and Kinetic Stability, Science, vol.315, issue.5810, p.353, 2007.
DOI : 10.1126/science.1135795

W. Götze, Recent tests of the mode-coupling theory for glassy dynamics, Journal of Physics: Condensed Matter, vol.11, issue.10A, p.1, 1999.
DOI : 10.1088/0953-8984/11/10A/002

T. Maimbourg, J. Kurchan, and F. Zamponi, Solution of the Dynamics of Liquids in the Large-Dimensional Limit, Physical Review Letters, vol.116, issue.1, p.15902, 2016.
DOI : 10.1103/PhysRevLett.116.015902

S. Franz and G. Parisi, Recipes for Metastable States in Spin Glasses, Journal de Physique I, vol.5, issue.11, p.1401, 1995.
DOI : 10.1051/jp1:1995201
URL : https://hal.archives-ouvertes.fr/jpa-00247146

F. Krzakala and L. Zdeborová, -spin glasses, Journal of Physics: Conference Series, vol.473, p.12022, 2013.
DOI : 10.1088/1742-6596/473/1/012022
URL : https://hal.archives-ouvertes.fr/hal-00304234

M. Mézard, G. Parisi, and M. A. Virasoro, Spin glass theory and beyond, World Scientific, 1987.

C. Heussinger and J. Barrat, Jamming Transition as Probed by Quasistatic Shear Flow, Physical Review Letters, vol.102, issue.21, p.218303, 2009.
DOI : 10.1103/PhysRevLett.102.218303
URL : https://hal.archives-ouvertes.fr/hal-00432328

C. Heussinger, P. Chaudhuri, and J. , Fluctuations and correlations during the shear flow of elastic particles near the jamming transition, Soft Matter, vol.15, issue.13, p.3050, 2010.
DOI : 10.1039/b927228c

R. Seto, R. Mari, J. F. Morris, and M. M. Denn, Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions, Physical Review Letters, vol.111, issue.21, p.218301, 2013.
DOI : 10.1103/PhysRevLett.111.218301

D. Bi, J. Zhang, B. Chakraborty, and R. Behringer, Jamming by shear, Nature, vol.435, issue.7377, p.355, 2011.
DOI : 10.1038/nature10667

A. Fall, N. Huang, F. Bertrand, G. Ovarlez, and D. Bonn, Shear Thickening of Cornstarch Suspensions as a Reentrant Jamming Transition, Physical Review Letters, vol.100, issue.1, p.18301, 2008.
DOI : 10.1103/PhysRevLett.100.018301

A. Ikeda, L. Berthier, and P. Sollich, Unified study of glass and jamming rheology in soft particle systems, Physical Review Letters, vol.109, issue.1, p.18301, 2012.
DOI : 10.1103/PhysRevLett.109.018301
URL : https://hal.archives-ouvertes.fr/hal-00715444

P. K. Jaiswal, I. Procaccia, C. Rainone, and M. Singh, Mechanical Yield in Amorphous Solids: A First-Order Phase Transition, Physical Review Letters, vol.116, issue.8, p.85501, 2016.
DOI : 10.1103/PhysRevLett.116.085501

S. K. Nandi, G. Biroli, and G. Tarjus, Spinodals with Disorder: From Avalanches in Random Magnets to Glassy Dynamics, Physical Review Letters, vol.116, issue.14, p.145701, 2016.
DOI : 10.1103/PhysRevLett.116.145701
URL : https://hal.archives-ouvertes.fr/cea-01188243

A. Seguin and O. Dauchot, Experimental Evidence of the Gardner Phase in a Granular Glass, Physical Review Letters, vol.117, issue.22, p.228001, 2016.
DOI : 10.1103/PhysRevLett.117.228001
URL : https://hal.archives-ouvertes.fr/hal-01422377