Directed Polymers in Random Media and Spin Glass Models on Trees
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.
KeywordsSpin Glass Random Medium Complex Weight Directed Polymer High Temperature Behaviour
Unable to display preview. Download preview PDF.
- Buffet, E., Patrick, A., Pulé, J.V.: Directed polymers on trees: a martingale approach. Preprint DIAS STP 91–34 (1991). Google Scholar
- Chauvin, B., Rouault, A.: Boltzmann-Gibbs weights in the branching random walk. These proceedings.Google Scholar
- Neveu, J.: Discrete-parameter martingales. Amsterdam- North-Holland 1975. (1986). Google Scholar
- Ruelle, D.: Thermodynamic formalism. Addison-Wesley (1978).Google Scholar