Université Paris 6
Pierre et Marie Curie | Université Paris 7
Denis Diderot | |

CNRS U.M.R. 7599
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``Probabilités et Modèles Aléatoires''
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**Auteur(s): **

**Code(s) de Classification MSC:**

- 60K40 Other physical applications of random processes

**Résumé:** For the model of directed polymers in a
gaussian random environment introduced by Imbrie and Spencer, we
establish: \begin{itemize}
\item a scaling inequality between the volume exponent and the fluctuation
exponent of the free energy;
\item a Large Deviations Principle for the end position of the
polymer under the Gibbs measure; \item a relationship between the
volume exponent and the rate function of the Large Deviations
Principle.

**Mots Clés:** *Random Environment ; Directed Polymers ; Large Deviations ; Concentration of Measure*

**Date:** 2003-01-29

**Prépublication numéro:** *PMA-789*

**Pdf file: **PMA-789.pdf