M. Aizenman and P. Contucci, On the stability of the quenched state in mean-field spin-glass models, J. Statist. Phys, vol.92, pp.5-6, 1998.

L. Arguin, A dynamical characterization of Poisson-Dirichlet distributions, Electronic Communications in Probability, vol.12, issue.0, pp.283-290, 2007.
DOI : 10.1214/ECP.v12-1300

L. Arguin and S. Chatterjee, Random overlap structures: properties and applications to spin glasses, Probability Theory and Related Fields, vol.148, issue.46, pp.375-413, 2013.
DOI : 10.1007/s00440-012-0431-6

L. Arguin and O. Zindy, Poisson???Dirichlet statistics for the extremes of a log-correlated Gaussian field, The Annals of Applied Probability, vol.24, issue.4, pp.1446-1481, 2014.
DOI : 10.1214/13-AAP952

URL : https://hal.archives-ouvertes.fr/hal-00680873

E. Bacry and J. F. Muzy, Log-Infinitely Divisible Multifractal Processes, Communications in Mathematical Physics, vol.236, issue.3, pp.449-475, 2003.
DOI : 10.1007/s00220-003-0827-3

URL : https://hal.archives-ouvertes.fr/hal-00012441

M. Biskup and O. Louidor, Extreme Local Extrema of Two-Dimensional Discrete Gaussian Free Field, Communications in Mathematical Physics, vol.202, issue.1, pp.1306-2602, 2013.
DOI : 10.1007/s00220-015-2565-8

E. Bolthausen, J. Deuschel, and G. Giacomin, Entropic repulsion and the maximum of the two-dimensional harmonic crystal, Ann. Probab, vol.29, issue.4, pp.1670-1692, 2001.

E. Bolthausen and A. Sznitman, Ten lectures on random media, DMV Seminar, vol.32, p.1890289, 2002.
DOI : 10.1007/978-3-0348-8159-3

A. Bovier and I. Kurkova, Derrida's Generalised Random Energy models 1: models with finitely many hierarchies, Annales de l?Institut Henri Poincare (B) Probability and Statistics, vol.40, issue.4, pp.439-480, 2004.
DOI : 10.1016/j.anihpb.2003.09.002

2. Poisson-dirichlet-statistics, . Gaussian, and . Field, Derrida's generalized random energy models. II. Models with continuous hierarchies, Ann. Inst. H. Poincaré Probab. Statist, vol.10, issue.40 4, pp.481-495, 2004.

M. Bramson, J. Ding, and O. Zeitouni, Convergence in law of the maximum of the twodimensional discrete gaussian free field, pp.1301-6669, 2013.

D. Carpentier and P. L. Doussal, Glass transition of a particle in a random potential, front selection in nonlinear renormalization group, and entropic phenomena in Liouville and sinh-Gordon models, Physical Review E, vol.63, issue.2, p.26110, 2001.
DOI : 10.1103/PhysRevE.63.026110

O. Daviaud, Extremes of the discrete two-dimensional Gaussian free field, The Annals of Probability, vol.34, issue.3, pp.962-986, 2006.
DOI : 10.1214/009117906000000061

B. Derrida, A generalization of the Random Energy Model which includes correlations between energies, Journal de Physique Lettres, vol.46, issue.9, pp.401-407, 1985.
DOI : 10.1051/jphyslet:01985004609040100

URL : https://hal.archives-ouvertes.fr/jpa-00232535

B. Derrida and H. Spohn, Polymers on disordered trees, spin glasses, and traveling waves, New directions in statistical mechanics, p.971033, 1987.
DOI : 10.1007/BF01014886

J. Ding, Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free field, Probab. Theory Related Fields, pp.285-299, 2013.

J. Ding and O. Zeitouni, Extreme values for two-dimensional discrete Gaussian free field, The Annals of Probability, vol.42, issue.4, pp.1480-1515, 2014.
DOI : 10.1214/13-AOP859

B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas, Critical Gaussian multiplicative chaos: Convergence of the derivative martingale, The Annals of Probability, vol.42, issue.5, pp.1769-1808, 2014.
DOI : 10.1214/13-AOP890

URL : https://hal.archives-ouvertes.fr/hal-00705619

E. B. Dynkin, Markov processes and random fields, Bulletin of the American Mathematical Society, vol.3, issue.3, pp.975-999, 1980.
DOI : 10.1090/S0273-0979-1980-14831-4

URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183547683

Y. V. Fyodorov and J. Bouchaud, Statistical mechanics of a single particle in a multiscale random potential: Parisi landscapes in finite-dimensional Euclidean spaces, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.32, pp.324009-324034, 2008.
DOI : 10.1088/1751-8113/41/32/324009

J. Kahane, Sur le chaos multiplicatif, Ann. Sci. Math. Québec, vol.9, issue.2, pp.105-150, 1985.

G. F. Lawler and V. Limic, Random walk: a modern introduction, Cambridge Studies in Advanced Mathematics, vol.123, pp.2010-2677157
DOI : 10.1017/CBO9780511750854

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

M. Ledoux and M. Talagrand, Probability in Banach spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, p.1102015, 1991.
DOI : 10.1007/978-3-642-20212-4

R. Rhodes and V. Vargas, Gaussian multiplicative chaos and applications: A review, Probability Surveys, vol.11, issue.0, pp.315-392, 2014.
DOI : 10.1214/13-PS218

M. Talagrand, Spin glasses: a challenge for mathematicians, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics Cavity and mean field models, Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], 2003.