English

Concentration inequalities for disordered models

Probability 2012-06-15 v3

Abstract

We use a generalization of Hoeffding's inequality to show concentration results for the free energy of disordered pinning models, assuming only that the disorder has a finite exponential moment. We also prove some concentration inequalities for directed polymers in random environment, which we use to establish a large deviations results for the end position of the polymer under the polymer measure.

Keywords

Cite

@article{arxiv.1010.4914,
  title  = {Concentration inequalities for disordered models},
  author = {Frederique Watbled},
  journal= {arXiv preprint arXiv:1010.4914},
  year   = {2012}
}

Comments

Revised version

R2 v1 2026-06-21T16:33:14.718Z