Thermodynamics and Phase Transition
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- 刊名：Lecture Notes in Mathematics
- 出版年：2017
- 出版时间：2017
- 年：2017
- 卷：2175
- 期：1
- 页码：13-29
- 参考文献：165.T.M. Liggett, Interacting Particle Systems. Classics in Mathematics (Springer, Berlin, 2005). Reprint of the 1985 original
167.Q. Liu, F. Watbled, Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in a random environment. Stoch. Process. Appl. 119 (10), 3101–3132 (2009)MathSciNet CrossRef MATH
188.V.L. Nguyen, A note about domination and monotonicity in disordered systems (2016). arXiv preprint arXiv:1606.01835
235.V. Vargas, Strong localization and macroscopic atoms for directed polymers. Probab. Theory Relat. Fields 138 (3–4), 391–410 (2007)MathSciNet CrossRef MATH - 作者单位：Francis Comets (14)
14. Mathematics, case 7012, Université Paris Diderot - Paris 7, Paris, France - 丛书名：Directed Polymers in Random Environments
- ISBN：978-3-319-50487-2
- 卷排序：2175
文摘
An important quantity for this model is the logarithmic moment generating function λ of ω(n, x),