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

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 23 references

Convergence in law for the branching random walk seen from its tip

T. Madaule
arXiv:1107.2543 • 2011
View 2 Excerpts

The Seneta-Heyde scaling for the branching random walk

E. Aı̈dékon, Z. Shi
2011

The asymptotic behavior of the probability of non - extinction of critical branching processes in a random environment

Mörters, M. Ortgiese
Teor . Verojatnost . i Primenen . • 2011

The branching brownian motion seen from its tip

E. Aı̈dékon, J. Berestycki, É. Brunet, Z. Shi
2011

Similar Papers

Loading similar papers…