The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling
Probability
2015-06-12 v2 Mathematical Physics
math.MP
Abstract
We study random pinning and copolymer models, when the return distribution of the underlying renewal process has a polynomial tail with finite mean. We compute the asymptotic behavior of the critical curves of the models in the weak coupling regime, showing that it is universal. This proves a conjecture of Bolthausen, den Hollander and Opoku for copolymer models (ref. [8]), which we also extend to pinning models.
Keywords
Cite
@article{arxiv.1301.5308,
title = {The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling},
author = {Quentin Berger and Francesco Caravenna and Julien Poisat and Rongfeng Sun and Nikos Zygouras},
journal= {arXiv preprint arXiv:1301.5308},
year = {2015}
}
Comments
Added a heuristic explanation, updated references, and other minor changes; version to appear on CMP