WIAS Preprint No. 891, (2003)

A condition for weak disorder for directed polymers in random environment


  • Birkner, Matthias

2010 Mathematics Subject Classification

  • 60K37 82B44


  • Directed polymer in random environment, weak disorder, size-biasing


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.

Appeared in

  • Electron. Comm. Probab., 9 (2004) pp. 22-25

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