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The quenched critical point of a diluted disordered polymer model


Bolthausen, E; Caravenna, F; Tilière, B (2009). The quenched critical point of a diluted disordered polymer model. Stochastic Processes and their Applications, 119(5):1479-1504.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Physical Sciences > Modeling and Simulation
Physical Sciences > Applied Mathematics
Language:English
Date:2009
Deposited On:04 Nov 2009 15:20
Last Modified:25 Feb 2020 12:39
Publisher:Elsevier
ISSN:0304-4149
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.spa.2008.07.008
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2513116

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