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

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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.

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References

  1. Imbrie, J.Z., Spencer, T.: Diffusions of directed polymers in a random environment. J. Stat. Phys.52, 609 (1988)

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  2. Neveu, J.: Discrete parameter martingales. Amsterdam: North-Holland 1975

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Berlin, D-1000, Berlin 12

    Erwin Bolthausen

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  1. Erwin Bolthausen
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Communicated by J. Fröhlich

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Bolthausen, E. A note on the diffusion of directed polymers in a random environment. Commun.Math. Phys. 123, 529–534 (1989). https://doi.org/10.1007/BF01218584

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  • DOI: https://doi.org/10.1007/BF01218584

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