Upper bound of a volume exponent for directed polymers in a random environment
Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 3, pp. 299-308.
@article{AIHPB_2004__40_3_299_0,
author = {Mejane, Olivier},
title = {Upper bound of a volume exponent for directed polymers in a random environment},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {299--308},
publisher = {Elsevier},
volume = {40},
number = {3},
year = {2004},
doi = {10.1016/j.anihpb.2003.10.007},
zbl = {1041.60079},
mrnumber = {2060455},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2003.10.007/}
}
Mejane, Olivier. Upper bound of a volume exponent for directed polymers in a random environment. Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 3, pp. 299-308. doi : 10.1016/j.anihpb.2003.10.007. http://archive.numdam.org/articles/10.1016/j.anihpb.2003.10.007/

[1] P. Carmona, Y. Hu, On the partition function of a directed polymer in a Gaussian random environment, Probab. Theory Related Fields 124 (3) (2002) 431-457. | MR 1939654 | Zbl 1015.60100

[2] F. Comets, T. Shiga, N. Yoshida, Directed polymers in random environment: path localization and strong disorder, Bernoulli 9 (4) (2003) 705-723. | MR 1996276 | Zbl 1042.60069

[3] F. Comets, N. Yoshida, Brownian directed polymers in random environment, Comm. Math. Phys. (2003), submitted for publication. | MR 2117626 | Zbl 02221280

[4] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Applications of Mathematics, vol. 38, Springer-Verlag, New York, 1998. | MR 1619036 | Zbl 0896.60013

[5] E. Lesigne, D. Volný, Large deviations for martingales, Stochastic Process. Appl. 96 (1) (2001) 143-159. | MR 1856684 | Zbl 1059.60033

[6] C. Licea, C.M. Newman, M.S.T. Piza, Superdiffusivity in first-passage percolation, Probab. Theory Related Fields 106 (4) (1996) 559-591. | MR 1421992 | Zbl 0870.60096

[7] J.Z. Imbrie, T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (3-4) (1988) 609-626. | Zbl 1084.82595

[8] M. Petermann, Superdiffusivity of directed polymers in random environment, Part of thesis, 2000.

[9] M. Piza, Directed polymers in a random environment: Some results on fluctuations, J. Statist. Phys. 89 (3-4) (1997) 581-603. | Zbl 0945.82527