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 Electronic Communications in Probability > Vol. 9 (2004) > Paper 3 open journal systems 


A Condition for Weak Disorder for Directed Polymers in Random Environment

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


Abstract
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.


Full text: PDF

Pages: 22--25

Published on: March 3, 2004
Bibliography
  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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Electronic Communications in Probability. ISSN: 1083-589X