Upper bound of a volume exponent for directed polymers in a random environment

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 40, Issue 3, 2004, Pages 299-308

  Mejane, Olivier ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Directed polymers in random environment; Gaussian environment

Indexed keywords

EID: 2342607998     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2003.10.007     Document Type: Article

References (9)

1. Carmona P. Hu Y. On the partition function of a directed polymer in a Gaussian random environment Probab. Theory Related Fields 124 3 2002 431-457
2. Comets F. Shiga T. Yoshida N. Directed polymers in random environment: path localization and strong disorder Bernoulli 9 4 2003 705-723
3. Comets F. Yoshida N. Brownian directed polymers in random environment Comm. Math. Phys. 2003 submitted for publication
4. Dembo A. Zeitouni O. Large Deviations Techniques and Applications second ed. Applications of Mathematics vol. 38 1998 Springer-Verlag New York
5. Lesigne E. Volný D. Large deviations for martingales Stochastic Process. Appl. 96 1 2001 143-159
6. Licea C. Newman C.M. Piza M.S.T. Superdiffusivity in first-passage percolation Probab. Theory Related Fields 106 4 1996 559-591
7. Imbrie J.Z. Spencer T. Diffusion of directed polymers in a random environment J. Statist. Phys. 52 3-4 1988 609-626
8. M. Petermann, Superdiffusivity of directed polymers in random environment, Part of thesis, 2000
9. Piza M. Directed polymers in a random environment: Some results on fluctuations J. Statist. Phys. 89 3-4 1997 581-603