Polymers on disordered trees, spin glasses, and traveling waves. (Q1963668)

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scientific article; zbMATH DE number 1397735
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Polymers on disordered trees, spin glasses, and traveling waves.
scientific article; zbMATH DE number 1397735

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    Polymers on disordered trees, spin glasses, and traveling waves. (English)
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    2 February 2000
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    Self-avoiding walks (directed polymers) in a random potential on a Cayley tree are studied. The generating function for the partition function is shown to satisfy the Kolmogorov-Petrovskii-Piskunov equation. By results of Bramson, it is shown that there is a transition which is similar to the random energy model.
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