A Condition for Weak Disorder for Directed Polymers in Random Environment

Matthias Birkner (Weierstrass Institute for Applied Analysis and Stochastics, Germany)


We give a sufficient criterion for the weak disorder regime of directed polymers in random environment, which extends a well-known second moment criterion. We use a stochastic representation of the size-biased law of the partition function.

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Pages: 22--25

Publication Date: March 3, 2004

DOI: 10.1214/ECP.v9-1104


  1. Matthias Birkner. Particle systems with locally dependent branching: long-time behaviour, genealogy and critical parameters, PhD thesis, Johann Wolfgang Goethe-Universität Frankfurt, 2003. http://publikationen.stub.uni-frankfurt.de/volltexte/2003/314/
  2. Francis Comets, Tokuzo Shiga, Nobuo Yoshida. Directed polymers in random environment: path localization and strong disorder. Bernoulli 9, No. 4 (2003), 705-723. Math. Review 1996276

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