Abstract
Pinning by a Sparse Potential
É. Janvresse, T. de la Rue and Y. Velenik
Stoch. Proc. Appl.
115,
No. 8,
1323-1331
(2005).
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.
Key words:
Polymer, interface, random environment, pinning, localization.
Files:
PDF,
Published version,
bibtex