G. Toulouse, Commun. Phys, vol.2, p.115, 1977.

L. Balents, Nature, vol.464, p.199, 2010.

R. Moessner and A. P. Ramírez, Phys. Today, vol.59, issue.2, p.24, 2006.

L. D. Jaubert, J. T. Chalker, P. C. Holdsworth, and R. Moessner, Phys. Rev. Lett, vol.100, p.67207, 2008.

E. H. Lieb and F. Y. Wu, Phase Transitions and Critical Phenomena, vol.1, p.331, 1972.

R. Youngblood, J. D. Axe, and B. M. Mccoy, Phys. Rev. B, vol.21, p.5212, 1980.

C. Henley, Annu. Rev. Condens. Matter Phys, vol.1, p.179, 2010.

P. G. Wolynes and V. Lubchenko, Structural Glasses and Supercooled Liquids: Theory, Experiment, and Applications, 2012.

L. Berthier and G. Biroli, Rev. Mod. Phys, vol.83, p.587, 2011.

A. Cavagna, Phys. Rep, vol.476, p.51, 2009.

W. Götze, Liquids, Freezing and the Glass Transition, 1989.

P. G. Debenedetti, Metastable Liquids, 1996.

G. Tarjus, Dynamical Heterogeneities in Glasses, Colloids, and Granular Media, 2011.

E. Marinari, G. Parisi, and F. Ritort, J. Phys. A: Math. Gen, vol.27, p.7647, 1994.

J. Bouchaud and M. Mézard, J. Phys. I, vol.4, p.1109, 1994.

L. F. Cugliandolo, J. Kurchan, G. Parisi, and F. Ritort, Phys. Rev. Lett, vol.74, p.1012, 1995.

J. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Mézard, Physica A, vol.226, p.243, 1996.

M. Grousson, G. Tarjus, and P. Viot, Phys. Rev. E, vol.65, p.65103, 2002.

, J. Phys.: Condens. Matter, vol.14, p.1617, 2002.

G. Tarjus, S. A. Kivelson, Z. Nussinov, and P. Viot, J. Phys.: Condens. Matter, vol.17, p.1143, 2005.

J. Schmalian and P. G. Wolynes, Phys. Rev. Lett, vol.85, p.836, 2000.

H. Westfahl, J. Schmalian, and P. G. Wolynes, Phys. Rev. B, vol.64, p.174203, 2001.

G. Biroli and M. Mézard, Phys. Rev. Lett, vol.88, p.25501, 2002.

M. P. Ciamarra, M. Tarzia, A. De-candia, and A. Coniglio, Phys. Rev. E, vol.67, p.57105, 2003.

M. P. Ciamarra, . Tarzia, . De-candia, and . Coniglio, Phys. Rev. E, vol.68, p.66111, 2003.

M. Weigt and A. K. Hartmann, Europhys. Lett, vol.62, p.533, 2003.

O. Rivoire, G. Biroli, O. C. Martin, and M. Mézard, Eur. Phys. J. B, vol.37, p.55, 2004.

M. Tarzia, Journal of Statistical Mechanics: Theory and Experiment, p.1010, 2007.

F. Krzakala, L. Zdeborová, ;. Zdeborová, and F. Krzakala, Europhys. Lett, vol.81, p.31131, 2007.

J. Kurchan, G. Parisi, and F. Zamponi, J. Stat. Mech, p.10012, 2012.

J. Kurchan, G. Parisi, P. Urbani, and F. Zamponi, J. Phys. Chem. B, vol.117, p.12979, 2013.

P. Charbonneau, J. Kurchan, G. Parisi, P. Urbani, and F. Zamponi, J. Stat. Mech, p.10009, 2014.

, Annu. Rev. Condens. Matter Phys, vol.8, p.265, 2017.

T. Maimbourg, J. Kurchan, and F. Zamponi, Phys. Rev. Lett, vol.116, p.15902, 2016.

F. Ritort and P. Sollich, Adv. Phys, vol.52, p.219, 2003.

D. Chandler and J. P. Garrahan, Annu. Rev. Phys. Chem, vol.61, p.191, 2010.

J. P. Garrahan and M. E. Newman, Phys. Rev. E, vol.62, p.7670, 2000.

J. P. Garrahan, Phys. Rev. E, vol.89, p.30301, 2014.

R. M. Turner, R. L. Jack, and J. P. Garrahan, Phys. Rev. E, vol.92, p.22115, 2015.

R. L. Jack and J. P. Garrahan, Phys. Rev. Lett, vol.116, p.55702, 2016.

J. D. Shore, M. Holzer, and J. P. Sethna, Phys. Rev. B, vol.46, p.11376, 1992.

S. A. Cannas, M. F. Michelon, D. A. Stariolo, and F. A. Tamarit, Phys. Rev. E, vol.78, p.51602, 2008.

O. Osenda, F. A. Tamarit, and S. A. Cannas, Phys. Rev. E, vol.80, p.21114, 2009.

D. Kivelson, S. A. Kivelson, X. L. Zhao, Z. Nussinov, and G. Tarjus, Physica A, vol.219, p.27, 1995.

I. Esterlis, S. A. Kivelson, and G. Tarjus, Phys. Rev. B, vol.96, p.144305, 2017.

O. Cépas and B. Canals, Phys. Rev. B, vol.86, p.24434, 2012.

O. Cépas, Phys. Rev. B, vol.90, p.64404, 2014.

S. Mahmoudian, L. Rademaker, A. Ralko, S. Fratini, and V. Dobrosavljevic, Phys. Rev. Lett, vol.115, p.25701, 2015.

Z. Budrikis, K. L. Livesey, J. P. Morgan, J. Akerman, A. Stein et al., New J. Phys, vol.14, p.35014, 2012.

D. Levis, L. F. Cugliandolo, ;. Levis, and L. F. Cugliandolo, Europhys. Lett, vol.97, p.214302, 2012.

M. J. Harris, S. T. Bramwell, D. F. Mcmorrow, T. Zeiske, and K. W. Godfrey, Phys. Rev. Lett, vol.79, p.2554, 1997.

M. Tarzia and G. Biroli, Europhys. Lett, vol.82, p.67008, 2008.

J. Hamp, R. Moessner, and C. Castelnovo, Phys. Rev. B, vol.98, p.144439, 2018.

I. A. Chioar, N. Rougemaille, and B. Canals, Phys. Rev. B, vol.93, p.214410, 2016.

M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond, 1987.

T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A, vol.40, p.1045, 1989.

V. Lubchenko and P. G. Wolynes, Annu. Rev. Phys. Chem, vol.58, p.235, 2007.

M. Mézard and G. Parisi, Eur. Phys. J. B, vol.20, p.217, 2001.

A. T. Ogielski, Phys. Rev. B, vol.32, p.7384, 1985.

A. T. Ogielski and I. Morgenstern, Phys. Rev. Lett, vol.54, p.928, 1985.

S. Franz, G. Parisi, and M. A. Virasoro, Journal de Physique I, vol.4, p.1657, 1994.

V. Astuti, S. Franz, and G. Parisi, Journal of Physics A: Mathematical and Theoretical, vol.52, p.294001, 2019.

J. Mattsson, P. Granberg, P. Nordblad, L. Lundgren, R. Loloee et al., J. Magn. Magn. Mat, vol.104, p.1623, 1992.

S. Guchhait and R. L. Orbach, Phys. Rev. Lett, vol.118, p.157203, 2017.

L. A. Fernández, E. Marinari, V. Martín-mayor, G. Parisi, and J. J. Ruiz-lorenzo, J. Phys. A: Math. Theor, vol.52, p.224002, 2019.

A. S. Wills, R. Ballou, and C. Lacroix, Phys. Rev. B, vol.66, p.144407, 2002.

Y. Han, Y. Shokef, A. M. Alsayed, P. Yunker, T. C. Luben-sky et al., Nature, vol.456, p.898, 2008.

D. Zhou, F. Wang, B. Li, X. Lou, and Y. Han, Phys. Rev. X, vol.7, p.21030, 2017.

I. A. Chioar, N. Rougemaille, A. Grimm, O. Fruchart, E. Wagner et al., Phys. Rev. B, vol.90, p.64411, 2014.

C. Nisoli, R. Moessner, and P. Schiffer, Rev. Mod. Phys, vol.85, p.1473, 2013.

K. Ni, S. Ospelkaus, M. H. De-miranda, A. Pe'er, B. Neyenhuis et al., Science, vol.322, p.231, 2008.

A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett, vol.94, p.160401, 2005.

A. Scheie, M. Sanders, J. Krizan, Y. Qiu, R. J. Cava et al., Phys. Rev. B, vol.93, p.180407, 2016.

J. Paddison, H. Ong, J. Hamp, P. Mukherjee, X. Bai et al., Nat. Commun, vol.7, p.1, 2016.

Z. L. Dun, J. Trinh, M. Lee, E. S. Choi, K. Li et al., Phys. Rev. B, vol.95, p.104439, 2017.

T. Takagi and M. Mekata, J. Phys. Soc. Japan, vol.62, p.3943, 1993.

D. Levis, L. F. Cugliandolo, L. Foini, and M. Tarzia, Phys. Rev. Lett, vol.110, p.207206, 2013.

L. Foini, D. Levis, M. Tarzia, and L. F. Cugliandolo, J. Stat. Mech, p.2026, 2013.

L. F. Cugliandolo, G. Gonnella, and A. Pelizzola, J. Stat. Mech, p.6008, 2015.

E. N. Cirillo, G. Gonnella, D. A. Johnston, and A. Pelizzola, Phys. Lett. A, vol.226, p.59, 1997.

A. Pelizzola, J. Phys. A: Math. Gen, vol.38, p.309, 2005.

, For a review see N. C. Wormald, Models of random-regular graphs, in Surveys in Combinatorics, The properties of random-regular graphs have been extensively studied, vol.276, p.239, 1999.

C. Castelnovo, R. Moessner, and S. L. Sondhi, Nature, vol.451, p.42, 2008.

P. Andriushchenko, Journal of Magnetism and Magnetic Materials, vol.476, p.284, 2019.

, In particular, it can be shown that m = 1 always gives back the paramagnetic RS solution

A. L. Cunuder, I. Frerot, A. Ortiz-ambriz, A. Ortíz-ambriz, and P. Tierno, Phys. Rev. B, vol.99, p.140405, 2019.

J. Loehr, A. Ortiz-ambriz, A. Ortíz-ambriz, and P. Tierno, Phys. Rev. Lett, vol.117, p.168001, 2016.

A. Ortíz-ambriz and P. Tierno, Nat. Comm, vol.7, p.10575, 2016.

A. Libal, C. J. Reichhardt-olson, and C. Reichhardt, New J. Phys, vol.17, p.103010, 2015.

A. Farhan, A. Kleibert, P. M. Derlet, L. Anghinolfi, A. Balan et al., Phys. Rev. Lett, vol.111, p.57204, 2013.

, Phys. Rev. B, vol.89, p.214405, 2014.

O. Sendetskyi, V. Scagnoli, N. Leo, L. Anghinolfi, A. Alberca et al., Phys. Rev. B, vol.99, p.214430, 2019.