W. Weibull, J. App. Mech, vol.18, p.293, 1951.

R. Hunt and L. Mccartney, Int. J. Fracture, vol.15, pp.365-375, 1979.

E. Castillo, Extreme value theory in engineering, 1988.

J. Bouchaud and M. Mézard, J. Phys. A: Math. Gen, vol.30, p.7997, 1997.

S. Coles, An introduction to statistical modeling of extreme values, 2001.

S. Majumdar and P. Krapivsky, Physica A, 2003.

M. Alava, P. Nukala, and S. Zapperi, Adv. Phys, vol.55, pp.349-476, 2006.

S. Chongchitnan and J. Silk, Phys. Rev. D, vol.85, p.63508, 2012.

E. Alvarado, D. Sandberg, and S. Pickford, Northwest Science (Special Issue), vol.72, pp.66-75, 1998.

J. Beirlant, Y. Goegebeur, J. Segers, and J. Teugels, Statistics of extremes: Theory and applications, 2005.

H. Abarbane, S. Koonin, H. Levine, G. Macdonald, and O. Rothaus, Statistics of extreme events with application to climate, 1992.

P. Embrechts, C. Klüppelberg, and T. Mikosch, Modelling extremal events for insurance and finance, 1997.

S. Novak, Extreme value methods with applications to finance, CRC Monographs on Statistics & Applied Probability, 2011.

C. Tracy and H. Widom, The distributions of random matrix theory and their applications Stanford institute for theoretical economics summer 2008 workshop: Complex data in economics and finance: Spatial models, social networks and factor models, 2008.

D. Gembris, J. Taylor, and D. Suter, J. of Appl. Stat, vol.34, pp.529-545, 2007.

R. Rammal, J. Phys. France, vol.46, pp.1837-1842, 1985.

P. Carpena, P. Bernaola-galván, and P. Ivanov, Phys. Rev. Lett, vol.93, p.176804, 2004.

N. Moloney and J. R-and-davidsen, Phys. Rev. E, vol.79, p.41131, 2009.

D. Dean and S. Majumdar, Phys. Rev. E, vol.64, p.46121, 2001.

Y. Fyodorov and J. Bouchaud, J. Phys. A: Math. and Theor, vol.41, p.372001, 2008.

R. Fisher and L. Tippett, P. Cam. Philol. Soc, vol.24, pp.180-190, 1928.

E. Gumbel, Annales de l'I.H.P, vol.5, pp.115-158, 1935.

B. Gnedenko, Ann. Math, vol.44, pp.423-453, 1943.

J. Galambos, The asymptotic theory of extreme order statistics, 1978.

L. De-haan and A. Ferreira, Extreme value theory: An introduction, 2006.

G. Györgyi, N. Moloney, K. Ozogány, and Z. Rácz, Phys. Rev. Lett, vol.100, p.210601, 2008.

G. Györgyi, N. Moloney, K. Ozogány, Z. Rácz, and M. Droz, Phys. Rev. E, vol.81, p.41135, 2010.

E. Bertin and G. Györgyi, J. Stat. Mech.: Th. E, p.8022, 2010.

G. Schehr, L. Doussal, and P. , J. Stat. Mech.: Th. E, p.1009, 2010.

T. Burkhardt, G. Györgyi, N. Moloney, and Z. Rácz, Phys. Rev. E, vol.76, p.41119, 2007.

S. Raychaudhuri, M. Cranston, C. Przybyla, and Y. Shapir, Phys. Rev. Lett, vol.87, issue.13, p.136101, 2001.

S. Majumdar and A. Comtet, Phys. Rev. Lett, vol.92, issue.22, p.225501, 2004.

G. Györgyi, N. Moloney, K. Ozogány, and Z. Rácz, Phys. Rev. E, vol.75, p.21123, 2007.

S. Edwards and D. Wilkinson, P. Roy. Soc. Lond. A Mat, vol.381, pp.17-31, 1982.

T. Antal, M. Droz, G. Györgyi, and Z. Rácz, Phys. Rev. Lett, 2001.

M. Kardar, G. Parisi, and Y. Zhang, Phys. Rev. Lett, vol.56, issue.9, pp.889-892, 1986.

P. Anderson and M. Meerschaert, Water Resour. Res, vol.34, pp.2271-2280, 1998.

R. Katz, M. Parlange, and P. Naveau, Adv. in Water Resour, vol.25, pp.1287-1304, 2002.

A. Noullez and J. Pinton, Eur. Phys. J B, p.28, 2002.

M. Felici, V. Lucarini, A. Speranza, and R. Vitolo, J. Atmos. Sci, vol.64, pp.2137-2158, 2007.

R. Planet, S. Santucci, and J. Ortín, Phys. Rev. Lett, vol.102, p.94502, 2009.

A. Barabasi and H. Stanley, Fractal concepts in surfaces growth, 1995.

R. Anderssen, S. Husain, and R. Loy, Anziam Journal, vol.45, pp.800-816, 2004.

J. Bendler, J. Stat. Phys, vol.36, p.625, 1984.

W. Weibull, A statistical theory of the strength of materials, 1939.

S. Phoenix and I. Beyerlein, Phys. Rev. E, vol.62, issue.2, pp.1622-1645, 2000.

C. Manzato, A. Shekhawat, P. Nukala, M. Alava, J. Sethna et al., Phys. Rev. Lett, vol.108, p.65504, 2012.

Z. Bertalan, A. Shekhawat, J. Sethna, and S. Zapperi, Phys. Rev. Appl, vol.2, p.34008, 2014.

P. Duxbury and P. Leath, J. Phys. A: Math. Gen, vol.20, p.411, 1987.

L. De-arcangelis, R. S. Hermann, and H. , J. Phys. Lett. Paris, vol.46, p.585, 1985.

P. Duxbury, P. Beale, and P. Leath, Phys. Rev. Lett, vol.57, p.1052, 1986.

P. Duxbury, P. Leath, and P. Beale, Phys. Rev. B, vol.36, issue.1, pp.367-380, 1987.

A. Gilabert, C. Vanneste, D. Sornette, and E. Guyon, J. Phys. France, vol.48, pp.763-770, 1987.

B. Kahng, G. Batrouni, S. Redner, L. De-arcangelis, and H. J. , Phys. Rev. B, vol.37, pp.7625-7637, 1988.

M. Barthelemy, R. Da-silveira, and H. Orland, Europhys. Lett.), vol.57, p.831, 2002.

C. Lu, R. Danzer, and F. Fischer, Phys. Rev. E, vol.65, issue.6, p.67102, 2002.

M. Sahimi and J. Goddard, Phys. Rev. B, vol.33, issue.11, pp.7848-7851, 1986.

T. Halicioglu and D. Cooper, Mater. Sci. and Eng, vol.62, p.121, 1984.

T. Halicioglu and D. Cooper, Mater. Sci. and Eng, vol.79, pp.157-163, 1986.

F. Reurings and M. Alava, Eur. Phys. J B, vol.47, pp.85-91, 2005.

W. Ashurst and W. Hoover, Phys. Rev. B, vol.14, issue.4, pp.1465-1473, 1976.

A. Paskin, D. Som, and G. Diennes, Acta Metall, vol.31, p.1841, 1983.

L. De-arcangelis and H. Hermann, Phys. Rev. B, vol.39, p.2678, 1989.

R. Bhagavatula, K. Chen, C. Jayaprakash, and H. Xu, Phys. Rev. E, vol.49, issue.6, pp.5001-5006, 1994.

Y. Li and P. Duxbury, Phys. Rev. B, vol.36, issue.10, pp.5411-5419, 1987.

P. Krenlampi, Eur. Phys. J B, vol.59, pp.385-390, 2007.

H. Kunz and B. Souillard, Phys. Rev. Lett, vol.40, issue.3, pp.133-135, 1978.

F. Dyson, J. Math. Phys, vol.3, pp.140-156, 1962.

M. Mehta, , 1991.

G. Biroli, J. Bouchaud, and M. Potters, Europhys. Lett, vol.78, p.10001, 2007.

P. Forrester, Log-gases and random matrices, 2010.

C. Tracy and H. Widom, Comm. Math. Phys, vol.159, pp.151-174, 1994.

C. Tracy and H. Widom, Comm. Math. Phys, vol.177, pp.727-754, 1996.

C. Nadal and S. Majumdar, J. Stat. Mech.: Th. E, p.4001, 2011.

G. Amir, C. I. Quastel, and J. , Comm. Pur. Appl. Math, vol.64, pp.466-537, 2011.

T. Sasamoto and H. Spohn, J. Stat. Phys, vol.140, pp.209-231, 2010.

T. Sasamoto and H. Spohn, Nucl. Phys. B, vol.834, pp.523-542, 2010.

T. Sasamoto and H. Spohn, Phys. Rev. Lett, vol.104, p.230602, 2010.

P. Calabrese, L. Doussal, P. Rosso, and A. , Europhys. Lett, vol.90, p.20002, 2010.

V. Dotsenko, Europhys. Lett, vol.90, 2010.

V. Dotsenko, J. Stat. Mech.: Th. E, p.7010, 2010.

S. Majumdar, , vol.85, pp.179-216, 2007.

G. Biroli, J. Bouchaud, and M. Potters, J. Stat. Mech.: Th. E, p.7019, 2007.

S. Nishigaki and F. Sugino, J. High Energy Phys, vol.104, 2014.

S. Majumdar and S. Nechaev, Phys. Rev. E, vol.69, issue.1, p.11103, 2004.

T. Gueudré and P. Doussal, Europhys. Lett.), vol.100, p.26006, 2012.

S. Majumdar and G. Schehr, J. Stat. Mech.: Th. E, p.1012, 2014.

I. Carrasco, K. Takeuchi, S. Ferreira, and T. Oliveira, New J. Phys, vol.16, p.123057, 2014.

S. Majumdar and A. Comtet, J. Stat. Phys, vol.119, pp.777-826, 2005.

G. Schehr and S. Majumdar, Phys. Rev. E, vol.73, issue.5, p.56103, 2006.

J. Rambeau and G. Schehr, J. Stat. Mech.: Th. E, p.9004, 2009.

J. Rambeau and G. Schehr, Europhys. Lett, vol.91, p.60006, 2010.

D. Lee, Phys. Rev. Lett, vol.95, issue.15, p.150601, 2005.

T. Oliveira, A. Reis, and F. , Phys. Rev. E, vol.77, issue.4, p.41605, 2008.

R. Almeida, S. Ferreira, T. Oliveira, and F. Reis, Phys. Rev. B, vol.89, issue.4, p.45309, 2014.

T. Halpin-healy and G. Palasantzas, Europhys. Lett, vol.105, p.50001, 2014.

K. Takeuchi and M. Sano, Phys. Rev. Lett, vol.104, p.230601, 2010.

K. Takeuchi and M. Sano, J. Stat. Phys, vol.147, p.853890, 2012.

M. Prähofer and H. Spohn, Phys. Rev. Lett, vol.84, issue.21, pp.4882-4885, 2000.

C. Lam and F. Shin, Phys. Rev. E, vol.58, issue.5, pp.5592-5595, 1998.

Z. Rácz and M. Plischke, Phys. Rev. E, vol.50, issue.5, pp.3530-3537, 1994.

S. Bramwell, K. Christensen, J. Fortin, P. Holdsworth, H. Jensen et al., Phys. Rev. Lett, vol.84, issue.17, pp.3744-3747, 2000.

S. Bramwell, P. Holdsworth, and J. Pinton, Nature, vol.396, p.552, 1998.

S. Bramwell, J. Fortin, P. Holdsworth, S. Peysson, J. Pinton et al., Phys. Rev. E, vol.63, issue.4, p.41106, 2001.

E. Bertin and M. Clusel, J. Phys. A: Math. Gen, vol.39, pp.7607-7619, 2006.

L. Takács, J. App. Prob, vol.32, pp.375-395, 1995.

L. Takács, Adv. Appl. Prob, vol.23, pp.557-585, 1991.

S. Majumdar, Curr. Sci. India, vol.88, pp.2076-2092, 2005.

J. Rambeau, S. Bustingorry, A. Kolton, and G. Schehr, Phys. Rev. E, vol.84, issue.4, p.41131, 2011.

D. Carpentier, L. Doussal, and P. , Phys. Rev. E, vol.63, issue.2, p.26110, 2001.

D. Carpentier, L. Doussal, and P. , Phys. Rev. E, vol.73, issue.1, p.19910, 2006.

B. Derrida, Phys. Rev. B, vol.24, issue.5, pp.2613-2626, 1981.

Y. Fyodorov, P. Doussal, and A. Rosso, J. Stat. Mech.: Th. E, p.10005, 2009.

Y. Fyodorov, G. Hiary, and J. Keating, Phys. Rev. Lett, vol.108, issue.17, p.170601, 2012.

E. Bertin, M. Clusel, and P. Holdsworth, J. Stat. Mech.: Th. E, p.7019, 2008.

E. Bertin, Phys. Rev. Lett, vol.95, p.170601, 2005.

A. Prudnikov, B. Yu, A. Marichev, and O. , Integrals and series: More special functions, Table erratum Math. Comp. v, vol.3, issue.215, p.1384, 1990.

A. Kundu, S. Majumdar, and G. Schehr, Phys. Rev. Lett, vol.110, p.220602, 2013.

A. Laurincikas, Limit theorems for the Riemann zeta-function. Series: Mathematics and its applications, vol.352, 1996.

Y. Fyodorov and J. Keating, Philos. Tr. R. Soc. Lond. A, vol.372, 2013.

C. Hughes, J. Keating, O. Connell, and N. , Comm. Math. Phys, vol.220, pp.429-451, 2001.

K. Johansson, Comm. Math. Phys, vol.209, pp.437-476, 2000.

S. Alves, T. Oliveira, and S. Ferreira, Europhys. Lett, vol.96, p.48003, 2011.