Fluctuation exponents and large deviations for directed polymers in a random environment (Q2485777)

The authors study a model of directed polymers in a random environment when the random medium is given by independent identically distributed \({N}(0,1)\) Gaussian random variables. They establish a large deviations principle for the end position of the polymer under the Gibbs measure. The second result is a scaling inequality between the volume exponent and the fluctuation exponent of the free energy. Finally the authors establish a relationship between the volume exponent and the rate function of the large deviations principle.