Pinning by a sparse potential

Abstract

We consider a directed polymer interacting with a diluted pinning potential restricted to a line. We characterize explicitely the set of disorder configurations that give rise to localization of the polymer. We study both relevant cases of dimension 1+1 and 1+2. We also discuss the case of massless effective interface models in dimension 2+1.

to appear in Stochastic Processes and their Applications

References in corpus (2)

• Pinning of polymers and interfaces by random potentials
• Critical behavior of the massless free field at the depinning transition

Cited by in corpus (2)

• A note on the discrete Gaussian Free Field with disordered pinning on Z^d, d\geq 2
• Copolymer at selective interfaces and pinning potentials: weak coupling limits