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

Olivier Mejane

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 3, page 299-308
  • ISSN: 0246-0203

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Mejane, Olivier. "Upper bound of a volume exponent for directed polymers in a random environment." Annales de l'I.H.P. Probabilités et statistiques 40.3 (2004): 299-308. <http://eudml.org/doc/77812>.

@article{Mejane2004,
author = {Mejane, Olivier},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {directed polymers in random environment; Gaussian environment},
language = {eng},
number = {3},
pages = {299-308},
publisher = {Elsevier},
title = {Upper bound of a volume exponent for directed polymers in a random environment},
url = {http://eudml.org/doc/77812},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Mejane, Olivier
TI - Upper bound of a volume exponent for directed polymers in a random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2004
PB - Elsevier
VL - 40
IS - 3
SP - 299
EP - 308
LA - eng
KW - directed polymers in random environment; Gaussian environment
UR - http://eudml.org/doc/77812
ER -

References

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  1. [1] P. Carmona, Y. Hu, On the partition function of a directed polymer in a Gaussian random environment, Probab. Theory Related Fields124 (3) (2002) 431-457. Zbl1015.60100MR1939654
  2. [2] F. Comets, T. Shiga, N. Yoshida, Directed polymers in random environment: path localization and strong disorder, Bernoulli9 (4) (2003) 705-723. Zbl1042.60069MR1996276
  3. [3] F. Comets, N. Yoshida, Brownian directed polymers in random environment, Comm. Math. Phys. (2003), submitted for publication. Zbl1128.60089MR2117626
  4. [4] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Applications of Mathematics, vol. 38, Springer-Verlag, New York, 1998. Zbl0896.60013MR1619036
  5. [5] E. Lesigne, D. Volný, Large deviations for martingales, Stochastic Process. Appl.96 (1) (2001) 143-159. Zbl1059.60033MR1856684
  6. [6] C. Licea, C.M. Newman, M.S.T. Piza, Superdiffusivity in first-passage percolation, Probab. Theory Related Fields106 (4) (1996) 559-591. Zbl0870.60096MR1421992
  7. [7] J.Z. Imbrie, T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys.52 (3–4) (1988) 609-626. Zbl1084.82595
  8. [8] M. Petermann, Superdiffusivity of directed polymers in random environment, Part of thesis, 2000. 
  9. [9] M. Piza, Directed polymers in a random environment: Some results on fluctuations, J. Statist. Phys.89 (3–4) (1997) 581-603. Zbl0945.82527

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