Copolymers at selective interfaces: settled issues and open problems

Francesco Caravenna, Giambattista Giacomin, Fabio Lucio Toninelli

Published 2010-10-27Version 1

We review the literature on the localization transition for the class of polymers with random potentials that goes under the name of copolymers near selective interfaces. We outline the results, sketch some of the proofs and point out the open problems in the field. We also present in detail some alternative proofs that simplify what one can find in the literature.