A note on the diffusion of directed polymers in a random environment

Bolthausen, E (1989). A note on the diffusion of directed polymers in a random environment. Communications in Mathematical Physics, 123(4):529-534.

Abstract

A simple martingale argument is presented which proves that directed polymers in random environments satisfy a central limit theorem ford3 and if the disorder is small enough. This simplifies and extends an approach by J. Imbrie and T. Spencer.

Abstract

A simple martingale argument is presented which proves that directed polymers in random environments satisfy a central limit theorem ford3 and if the disorder is small enough. This simplifies and extends an approach by J. Imbrie and T. Spencer.

Citations

79 citations in Web of Science®
77 citations in Scopus®

Altmetrics

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics random walk in random scenery; directed polymers; central limit theorem; martingale arguments English 1989 21 May 2010 08:25 05 Apr 2016 13:29 Springer 0010-3616 The original publication is available at www.springerlink.com Related URL. An embargo period may apply. https://doi.org/10.1007/BF01218584 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0684.60013http://projecteuclid.org/euclid.cmp/1104178982 (Organisation)