Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions, Communications on Pure and Applied Mathematics, vol.337, issue.4, pp.466-537, 2011. ,
DOI : 10.1002/cpa.20347
Directed polymers in a random environment with heavy tails, Communications on Pure and Applied Mathematics, vol.89, issue.2, pp.183-204, 2011. ,
DOI : 10.1002/cpa.20348
Very strong disorder for the parabolic Anderson model in low dimensions, Indagationes Mathematicae, vol.26, issue.1 ,
DOI : 10.1016/j.indag.2014.04.001
URL : https://hal.archives-ouvertes.fr/hal-00766752
Corwin: On moments of the parabolic Anderson model ,
Sharp Asymptotics for the Partition Function of Some Continuous-time Directed Polymers, Potential Analysis, vol.248, issue.2, pp.139-166, 2008. ,
DOI : 10.1007/s11118-008-9092-6
URL : https://hal.archives-ouvertes.fr/hal-00176569
On the partition function of a directed polymer in a random environment, Probability Theory and Related Fields, vol.124, issue.3, pp.431-457, 2002. ,
DOI : 10.1007/s004400200213
Strong disorder implies strong localization for directed polymers in a random environment ALEA Lat, Am. J. Probab. Math. Stat, vol.2, pp.217-229, 2006. ,
Asymptotics for the almost sure lyapunov exponent for the solution of the parabolic Anderson problem, Random Operators and Stochastic Equations, vol.9, issue.1, pp.77-86, 2001. ,
DOI : 10.1515/rose.2001.9.1.77
Molchanov: Parabolic Anderson problem and intermittency, Mem. Amer. Math. Soc, vol.108, 1994. ,
DOI : 10.1090/memo/0518
Directed polymers in a random environment: path localization and strong disorder, Bernoulli, vol.9, issue.4, pp.705-723, 2003. ,
DOI : 10.3150/bj/1066223275
URL : https://hal.archives-ouvertes.fr/hal-00103820
Probabilistic analysis of directed polymers in a random environment: a review Stochastic analysis on large scale interacting systems, Adv. Stud. Pure Math, pp.115-142, 2004. ,
THE KARDAR???PARISI???ZHANG EQUATION AND UNIVERSALITY CLASS, Random Matrices: Theory and Applications, vol.01, issue.01, 2012. ,
DOI : 10.1142/S2010326311300014
On large deviations for the parabolic Anderson model, Probability Theory and Related Fields, vol.108, issue.1, pp.349-378, 2010. ,
DOI : 10.1007/s00440-009-0249-z
Lyapunov exponents for the parabolic Anderson model, Acta Math. Univ. Comenian. (N.S.), vol.71, pp.163-188, 2002. ,
A two cities theorem for the parabolic Anderson model, The Annals of Probability, vol.37, issue.1, pp.347-392, 2009. ,
DOI : 10.1214/08-AOP405
Intermittency in a catalytic random medium, The Annals of Probability, vol.34, issue.6, pp.2219-2287, 2006. ,
DOI : 10.1214/009117906000000467
New Bounds for the Free Energy of Directed Polymers in Dimension 1??+??1 and 1??+??2, Communications in Mathematical Physics, vol.134, issue.3/4, pp.471-503, 2010. ,
DOI : 10.1007/s00220-009-0957-3
URL : https://hal.archives-ouvertes.fr/hal-00361863
Sum rules for the free energy in the mean field spin glass model, Mathematical physics in mathematics and physics Fields Inst. Commun, vol.161170, issue.30, 2001. ,
DOI : 10.1090/fic/030/10
The thermodynamic limit in mean field spin glass models, Communications in Mathematical Physics, vol.230, issue.1, pp.71-79, 2002. ,
DOI : 10.1007/s00220-002-0699-y
Tindel A model of continuous time polymer on the lattice, Commun. Stoch. Anal, vol.5, pp.103-120, 2011. ,
Asymmetric directed polymers in random environments ,
Remenik Endpoint distribution of directed polymers in 1+1 dimensions, Comm. Math. Phys ,
On the free energy of a directed polymer in a Brownian environment, Markov Process. Related Fields, vol.13, p.251266, 2007. ,
Topics in disordered systems, Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 1997. ,
DOI : 10.1007/978-3-0348-8912-4
The Malliavin calculus and related topics, 2006. ,
DOI : 10.1007/978-1-4757-2437-0
On the Brownian-directed polymer in a Gaussian random environment, Journal of Functional Analysis, vol.222, issue.1, pp.178-201, 2005. ,
DOI : 10.1016/j.jfa.2004.07.017
Valkó: Bounds for scaling exponents for a 1 + 1 dimensional directed polymer in a Brownian environment, ALEA Lat. Am. J. Probab. Math. Stat, vol.7, pp.451-476, 2010. ,
Spin Glasses: A Challenge for Mathematicians. Cavity and Mean Field Models, 2003. ,
The Parisi formula, Annals of Mathematics, vol.163, issue.1, pp.221-263, 2006. ,
DOI : 10.4007/annals.2006.163.221
High temperature regime for a multidimensional Sherrington- Kirkpatrick model of spin glass. Probab. Theory Related Fields Transformation of measure on Wiener space, pp.497-534, 1998. ,
Strong localization and macroscopic atoms for directed polymers, Probability Theory and Related Fields, vol.51, issue.1/2, pp.391-410, 2007. ,
DOI : 10.1007/s00440-006-0030-5
URL : https://hal.archives-ouvertes.fr/hal-00150392