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

摘要

For the model of directed polymers in a Gaussian random environment introduced by Imbrie and Spencer, we establish:a Large Deviations Principle for the end position of the polymer under the Gibbs measure;a scaling inequality between the volume exponent and the fluctuation exponent of the free energy;a relationship between the volume exponent and the rate function of the Large Deviations Principle. (C) 2004 Elsevier B.V. All rights reserved.