The quenched critical point of a diluted disordered polymer model
Probability
2008-07-26 v2
Abstract
We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the quenched critical point of the model, showing that it is different from the annealed one. The proof is based on a rigorous renormalization procedure. Applications of our results to the problem of a copolymer near a selective interface are discussed.
Keywords
Cite
@article{arxiv.0711.0141,
title = {The quenched critical point of a diluted disordered polymer model},
author = {Erwin Bolthausen and Francesco Caravenna and Béatrice de Tilière},
journal= {arXiv preprint arXiv:0711.0141},
year = {2008}
}
Comments
24 pages, 4 figures. Minor corrections. Version to be published in Stochastic Process. Appl