The near-critical scaling window for directed polymers on disordered trees

@inproceedings{Alberts2012TheNS,
title={The near-critical scaling window for directed polymers on disordered trees},
author={Tom Alberts and Marcel Ortgiese},
year={2012}
}

We study a directed polymer model in a random environment on infinite binary trees. The model is characterized by a phase transition depending on the inverse temperature. We concentrate on the asymptotics of the partition function in the near-critical regime, where the inverse temperature is a small perturbation away from the critical one with the perturbation converging to zero as the system size grows large. Depending on the speed of convergence we observe very different asymptotic behavior… CONTINUE READING