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Showing 2008 · math-phShow all
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math-ph2008★ 90 cited
Marginal relevance of disorder for pinning models
Giambattista Giacomin, Hubert Lacoin, Fabio Lucio Toninelli
The effect of disorder on pinning and wetting models has attracted much attention in theoretical physics. In particular, it has been predicted on the basis of the Harris criterion…
math-ph2008★ 96 cited
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe a…
math-ph2008★ 69 cited
Riemann-Hilbert approach to a generalized sine kernel and applications
N. Kitanine, Karol K. Kozlowski, Jean Michel Maillet +2
We investigate the asymptotic behavior of a generalized sine kernel acting on a finite size interval [-q,q]. We determine its asymptotic resolvent as well as the first terms in the…