A note on the diffusion of directed polymers in a random environment
Abstract
A simple martingale argument is presented which proves that directed polymers in random environments satisfy a central limit theorem ford≧3 and if the disorder is small enough. This simplifies and extends an approach by J. Imbrie and T. Spencer.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- December 1989
- DOI:
- 10.1007/BF01218584
- Bibcode:
- 1989CMaPh.123..529B
- Keywords:
-
- Polymer;
- Neural Network;
- Statistical Physic;
- Complex System;
- Nonlinear Dynamics