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|Title:||The Critical Curves of the Random Pinning and Copolymer Models at Weak Coupling|
|Citation:||Berger, Q., Caravenna, F., Poisat, J., Sun, R., Zygouras, N. (2014-03). The Critical Curves of the Random Pinning and Copolymer Models at Weak Coupling. Communications in Mathematical Physics 326 (2) : 507-530. ScholarBank@NUS Repository. https://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. © 2013 Springer-Verlag Berlin Heidelberg.|
|Source Title:||Communications in Mathematical Physics|
|Appears in Collections:||Staff Publications|
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