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The critical curves of the random pinning and copolymer models at weak coupling
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Berger, Quentin, Caravenna, Francesco, Poisat, Julien, Sun, Rongfeng and Zygouras, Nikos (2014) The critical curves of the random pinning and copolymer models at weak coupling. Communications in Mathematical Physics, Volume 326 (Number 2). pp. 507-530. doi:10.1007/s00220-013-1849-0 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-013-1849-0
Abstract
We study random pinning and copolymer models, when the return distribution of the underlying renewal process has a polynomial tail with finite mean. We compute the asymptotic behavior of the critical curves of the models in the weak coupling regime, showing that it is universal. This proves a conjecture of Bolthausen, den Hollander and Opoku for copolymer models (Bolthausen et al., in Ann Probab, 2012), which we also extend to pinning models.
Item Type: | Journal Article | ||||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||||||||
Publisher: | Springer | ||||||||||
ISSN: | 0010-3616 | ||||||||||
Official Date: | 1 March 2014 | ||||||||||
Dates: |
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Volume: | Volume 326 | ||||||||||
Number: | Number 2 | ||||||||||
Page Range: | pp. 507-530 | ||||||||||
DOI: | 10.1007/s00220-013-1849-0 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access |
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