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Directed polymers in random media and spin glass models on trees. (English) Zbl 0867.60095

Athreya, Krishna B. (ed.) et al., Classical and modern branching processes. Proceedings of the IMA workshop, Minneapolis, MN, USA, June 13–17, 1994. New York, NY: Springer. IMA Vol. Math. Appl. 84, 171-179 (1997).
Summary: Using some results of the theory of branching random walks, we give a unifying framework for the mean-field theory for models of spin glasses and directed polymers in a random medium defined on regular trees. Their phase diagram is studied in the complex plane of temperature.
For the entire collection see [Zbl 0855.00027].

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
82D60 Statistical mechanics of polymers
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