scholarly journals Marginal relevance of disorder for pinning models

2010 ◽  
Vol 63 (2) ◽  
pp. 233-265 ◽  
Author(s):  
Giambattista Giacomin ◽  
Fabio Toninelli ◽  
Hubert Lacoin
Keyword(s):  
Pinning Models

scholarly journals Scaling limits of (1+1)-dimensional pinning models with Laplacian interaction

2009 ◽  
Vol 37 (3) ◽  
pp. 903-945 ◽  
Author(s):  
Francesco Caravenna ◽  
Jean-Dominique Deuschel
Keyword(s):  
Scaling Limits ◽  
Pinning Models

scholarly journals Quenched and Annealed Critical Points in Polymer Pinning Models

2009 ◽  
Vol 291 (3) ◽  
pp. 659-689 ◽  
Author(s):  
Kenneth S. Alexander ◽  
Nikos Zygouras
Keyword(s):  
Critical Points ◽  
Pinning Models

scholarly journals ON HOMOGENEOUS PINNING MODELS AND PENALIZATIONS

2008 ◽  
Vol 08 (03) ◽  
pp. 383-396
Author(s):  
MIHAI GRADINARU ◽  
SAMY TINDEL
Keyword(s):  
Wiener Measure ◽  
Penalization Method ◽  
Polymer Models ◽  
Markovian Limit ◽  
Pinning Models

In this note, we show how the penalization method, introduced in order to describe some nontrivial changes of the Wiener measure, can be applied to the study of some simple polymer models such as the pinning model. The bulk of the analysis is then focused on the study of a martingale which has to be computed as a Markovian limit.

scholarly journals On the irrelevant disorder regime of pinning models

2009 ◽  
Vol 37 (5) ◽  
pp. 1841-1875 ◽  
Author(s):  
Giambattista Giacomin ◽  
Fabio Lucio Toninelli
Keyword(s):  
Pinning Models
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